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Finding the Fourth Proportional to 935.82, 1,291.15 and 542.77

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Solution

The fourth proportional to 935.82, 1,291.15 and 542.77 is: 748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.82 : 1,291.15 = 542.77 : x
  2. Step 2: Convert to fraction form
    935.82/1,291.15 = 542.77/x
  3. Step 3: Cross multiply
    935.82x = 1,291.15 × 542.77
  4. Step 4: Simplify right side
    935.82x = 700,799.78
  5. Step 5: Solve for x
    x = 700,799.78/935.82
  6. Step 6: Final answer
    x = 748.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.