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Finding the Fourth Proportional to 984.74, 1,358.95 and 542.66

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Solution

The fourth proportional to 984.74, 1,358.95 and 542.66 is: 748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.74 : 1,358.95 = 542.66 : x
  2. Step 2: Convert to fraction form
    984.74/1,358.95 = 542.66/x
  3. Step 3: Cross multiply
    984.74x = 1,358.95 × 542.66
  4. Step 4: Simplify right side
    984.74x = 737,447.81
  5. Step 5: Solve for x
    x = 737,447.81/984.74
  6. Step 6: Final answer
    x = 748.88

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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.