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Finding the Fourth Proportional to 650.52, 974.22 and 527.46

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Solution

The fourth proportional to 650.52, 974.22 and 527.46 is: 789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 974.22 = 527.46 : x
  2. Step 2: Convert to fraction form
    650.52/974.22 = 527.46/x
  3. Step 3: Cross multiply
    650.52x = 974.22 × 527.46
  4. Step 4: Simplify right side
    650.52x = 513,862.08
  5. Step 5: Solve for x
    x = 513,862.08/650.52
  6. Step 6: Final answer
    x = 789.93

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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.