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Finding the Fourth Proportional to 754.32, 1,042.40 and 545.19

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Solution

The fourth proportional to 754.32, 1,042.40 and 545.19 is: 753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.32 : 1,042.40 = 545.19 : x
  2. Step 2: Convert to fraction form
    754.32/1,042.40 = 545.19/x
  3. Step 3: Cross multiply
    754.32x = 1,042.40 × 545.19
  4. Step 4: Simplify right side
    754.32x = 568,306.06
  5. Step 5: Solve for x
    x = 568,306.06/754.32
  6. Step 6: Final answer
    x = 753.40

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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.