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Finding the Fourth Proportional to 1,002.25, 1,503.47 and 731.62

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Solution

The fourth proportional to 1,002.25, 1,503.47 and 731.62 is: 1,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.25 : 1,503.47 = 731.62 : x
  2. Step 2: Convert to fraction form
    1,002.25/1,503.47 = 731.62/x
  3. Step 3: Cross multiply
    1,002.25x = 1,503.47 × 731.62
  4. Step 4: Simplify right side
    1,002.25x = 1,099,968.72
  5. Step 5: Solve for x
    x = 1,099,968.72/1,002.25
  6. Step 6: Final answer
    x = 1,097.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.