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Finding the Fourth Proportional to 754.98, 1,042.14 and 506.16

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Solution

The fourth proportional to 754.98, 1,042.14 and 506.16 is: 698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.98 : 1,042.14 = 506.16 : x
  2. Step 2: Convert to fraction form
    754.98/1,042.14 = 506.16/x
  3. Step 3: Cross multiply
    754.98x = 1,042.14 × 506.16
  4. Step 4: Simplify right side
    754.98x = 527,489.58
  5. Step 5: Solve for x
    x = 527,489.58/754.98
  6. Step 6: Final answer
    x = 698.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.