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Finding the Fourth Proportional to 1,542.65, 2,314.36 and 502.71

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Solution

The fourth proportional to 1,542.65, 2,314.36 and 502.71 is: 754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.65 : 2,314.36 = 502.71 : x
  2. Step 2: Convert to fraction form
    1,542.65/2,314.36 = 502.71/x
  3. Step 3: Cross multiply
    1,542.65x = 2,314.36 × 502.71
  4. Step 4: Simplify right side
    1,542.65x = 1,163,441.04
  5. Step 5: Solve for x
    x = 1,163,441.04/1,542.65
  6. Step 6: Final answer
    x = 754.18

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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.