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Finding the Fourth Proportional to 747.33, 1,120.53 and 650.74

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Solution

The fourth proportional to 747.33, 1,120.53 and 650.74 is: 975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.33 : 1,120.53 = 650.74 : x
  2. Step 2: Convert to fraction form
    747.33/1,120.53 = 650.74/x
  3. Step 3: Cross multiply
    747.33x = 1,120.53 × 650.74
  4. Step 4: Simplify right side
    747.33x = 729,177.53
  5. Step 5: Solve for x
    x = 729,177.53/747.33
  6. Step 6: Final answer
    x = 975.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.