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Finding the Fourth Proportional to 1,542.29, 2,313.47 and 502.29

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Solution

The fourth proportional to 1,542.29, 2,313.47 and 502.29 is: 753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.29 : 2,313.47 = 502.29 : x
  2. Step 2: Convert to fraction form
    1,542.29/2,313.47 = 502.29/x
  3. Step 3: Cross multiply
    1,542.29x = 2,313.47 × 502.29
  4. Step 4: Simplify right side
    1,542.29x = 1,162,030.33
  5. Step 5: Solve for x
    x = 1,162,030.33/1,542.29
  6. Step 6: Final answer
    x = 753.45

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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.