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Finding the Fourth Proportional to 650.76, 974.52 and 633.24

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Solution

The fourth proportional to 650.76, 974.52 and 633.24 is: 948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 974.52 = 633.24 : x
  2. Step 2: Convert to fraction form
    650.76/974.52 = 633.24/x
  3. Step 3: Cross multiply
    650.76x = 974.52 × 633.24
  4. Step 4: Simplify right side
    650.76x = 617,105.04
  5. Step 5: Solve for x
    x = 617,105.04/650.76
  6. Step 6: Final answer
    x = 948.28

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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.