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Finding the Fourth Proportional to 650.90, 974.03 and 565.25

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Solution

The fourth proportional to 650.90, 974.03 and 565.25 is: 845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 974.03 = 565.25 : x
  2. Step 2: Convert to fraction form
    650.90/974.03 = 565.25/x
  3. Step 3: Cross multiply
    650.90x = 974.03 × 565.25
  4. Step 4: Simplify right side
    650.90x = 550,562.76
  5. Step 5: Solve for x
    x = 550,562.76/650.90
  6. Step 6: Final answer
    x = 845.85

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Why These Related Problems?

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