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Finding the Fourth Proportional to 814.72, 1,123.14 and 565.66

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Solution

The fourth proportional to 814.72, 1,123.14 and 565.66 is: 779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.72 : 1,123.14 = 565.66 : x
  2. Step 2: Convert to fraction form
    814.72/1,123.14 = 565.66/x
  3. Step 3: Cross multiply
    814.72x = 1,123.14 × 565.66
  4. Step 4: Simplify right side
    814.72x = 635,315.37
  5. Step 5: Solve for x
    x = 635,315.37/814.72
  6. Step 6: Final answer
    x = 779.80

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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.