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Finding the Fourth Proportional to 935.60, 1,291.02 and 542.70

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Solution

The fourth proportional to 935.60, 1,291.02 and 542.70 is: 748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.60 : 1,291.02 = 542.70 : x
  2. Step 2: Convert to fraction form
    935.60/1,291.02 = 542.70/x
  3. Step 3: Cross multiply
    935.60x = 1,291.02 × 542.70
  4. Step 4: Simplify right side
    935.60x = 700,630.10
  5. Step 5: Solve for x
    x = 700,630.10/935.60
  6. Step 6: Final answer
    x = 748.86

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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.