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Finding the Fourth Proportional to 814.41, 1,123.31 and 565.53

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Solution

The fourth proportional to 814.41, 1,123.31 and 565.53 is: 780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.41 : 1,123.31 = 565.53 : x
  2. Step 2: Convert to fraction form
    814.41/1,123.31 = 565.53/x
  3. Step 3: Cross multiply
    814.41x = 1,123.31 × 565.53
  4. Step 4: Simplify right side
    814.41x = 635,262.68
  5. Step 5: Solve for x
    x = 635,262.68/814.41
  6. Step 6: Final answer
    x = 780.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.