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Finding the Fourth Proportional to 650.33, 974.17 and 528.02

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Solution

The fourth proportional to 650.33, 974.17 and 528.02 is: 790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.33 : 974.17 = 528.02 : x
  2. Step 2: Convert to fraction form
    650.33/974.17 = 528.02/x
  3. Step 3: Cross multiply
    650.33x = 974.17 × 528.02
  4. Step 4: Simplify right side
    650.33x = 514,381.24
  5. Step 5: Solve for x
    x = 514,381.24/650.33
  6. Step 6: Final answer
    x = 790.95

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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.