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Finding the Fourth Proportional to 754.64, 1,042.01 and 506.18

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Solution

The fourth proportional to 754.64, 1,042.01 and 506.18 is: 698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,042.01 = 506.18 : x
  2. Step 2: Convert to fraction form
    754.64/1,042.01 = 506.18/x
  3. Step 3: Cross multiply
    754.64x = 1,042.01 × 506.18
  4. Step 4: Simplify right side
    754.64x = 527,438.78
  5. Step 5: Solve for x
    x = 527,438.78/754.64
  6. Step 6: Final answer
    x = 698.93

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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.