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Finding the Fourth Proportional to 650.24, 974.10 and 581.48

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Solution

The fourth proportional to 650.24, 974.10 and 581.48 is: 871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.24 : 974.10 = 581.48 : x
  2. Step 2: Convert to fraction form
    650.24/974.10 = 581.48/x
  3. Step 3: Cross multiply
    650.24x = 974.10 × 581.48
  4. Step 4: Simplify right side
    650.24x = 566,419.67
  5. Step 5: Solve for x
    x = 566,419.67/650.24
  6. Step 6: Final answer
    x = 871.09

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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.