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Finding the Fourth Proportional to 935.87, 1,291.56 and 542.75

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Solution

The fourth proportional to 935.87, 1,291.56 and 542.75 is: 749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.87 : 1,291.56 = 542.75 : x
  2. Step 2: Convert to fraction form
    935.87/1,291.56 = 542.75/x
  3. Step 3: Cross multiply
    935.87x = 1,291.56 × 542.75
  4. Step 4: Simplify right side
    935.87x = 700,994.19
  5. Step 5: Solve for x
    x = 700,994.19/935.87
  6. Step 6: Final answer
    x = 749.03

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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.