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Finding the Fourth Proportional to 1,513.38, 2,270.07 and 691.43

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Solution

The fourth proportional to 1,513.38, 2,270.07 and 691.43 is: 1,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.38 : 2,270.07 = 691.43 : x
  2. Step 2: Convert to fraction form
    1,513.38/2,270.07 = 691.43/x
  3. Step 3: Cross multiply
    1,513.38x = 2,270.07 × 691.43
  4. Step 4: Simplify right side
    1,513.38x = 1,569,591.04
  5. Step 5: Solve for x
    x = 1,569,591.04/1,513.38
  6. Step 6: Final answer
    x = 1,037.14

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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.