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Finding the Fourth Proportional to 1,084.73, 1,627.10 and 263.01

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Solution

The fourth proportional to 1,084.73, 1,627.10 and 263.01 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.73 : 1,627.10 = 263.01 : x
  2. Step 2: Convert to fraction form
    1,084.73/1,627.10 = 263.01/x
  3. Step 3: Cross multiply
    1,084.73x = 1,627.10 × 263.01
  4. Step 4: Simplify right side
    1,084.73x = 427,936.35
  5. Step 5: Solve for x
    x = 427,936.35/1,084.73
  6. Step 6: Final answer
    x = 394.51

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.