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Finding the Fourth Proportional to 687.24, 1,029.96 and 565.68

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Solution

The fourth proportional to 687.24, 1,029.96 and 565.68 is: 847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.24 : 1,029.96 = 565.68 : x
  2. Step 2: Convert to fraction form
    687.24/1,029.96 = 565.68/x
  3. Step 3: Cross multiply
    687.24x = 1,029.96 × 565.68
  4. Step 4: Simplify right side
    687.24x = 582,627.77
  5. Step 5: Solve for x
    x = 582,627.77/687.24
  6. Step 6: Final answer
    x = 847.78

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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.