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Finding the Fourth Proportional to 1,002.49, 1,503.83 and 386.47

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Solution

The fourth proportional to 1,002.49, 1,503.83 and 386.47 is: 579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.49 : 1,503.83 = 386.47 : x
  2. Step 2: Convert to fraction form
    1,002.49/1,503.83 = 386.47/x
  3. Step 3: Cross multiply
    1,002.49x = 1,503.83 × 386.47
  4. Step 4: Simplify right side
    1,002.49x = 581,183.25
  5. Step 5: Solve for x
    x = 581,183.25/1,002.49
  6. Step 6: Final answer
    x = 579.74

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.