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Finding the Fourth Proportional to 946.62, 1,306.19 and 542.79

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Solution

The fourth proportional to 946.62, 1,306.19 and 542.79 is: 748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.62 : 1,306.19 = 542.79 : x
  2. Step 2: Convert to fraction form
    946.62/1,306.19 = 542.79/x
  3. Step 3: Cross multiply
    946.62x = 1,306.19 × 542.79
  4. Step 4: Simplify right side
    946.62x = 708,990.54
  5. Step 5: Solve for x
    x = 708,990.54/946.62
  6. Step 6: Final answer
    x = 748.97

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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.