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Finding the Fourth Proportional to 687.83, 1,026.14 and 565.72

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Solution

The fourth proportional to 687.83, 1,026.14 and 565.72 is: 843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.83 : 1,026.14 = 565.72 : x
  2. Step 2: Convert to fraction form
    687.83/1,026.14 = 565.72/x
  3. Step 3: Cross multiply
    687.83x = 1,026.14 × 565.72
  4. Step 4: Simplify right side
    687.83x = 580,502.53
  5. Step 5: Solve for x
    x = 580,502.53/687.83
  6. Step 6: Final answer
    x = 843.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.