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Finding the Fourth Proportional to 814.01, 1,123.43 and 566.15

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Solution

The fourth proportional to 814.01, 1,123.43 and 566.15 is: 781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.01 : 1,123.43 = 566.15 : x
  2. Step 2: Convert to fraction form
    814.01/1,123.43 = 566.15/x
  3. Step 3: Cross multiply
    814.01x = 1,123.43 × 566.15
  4. Step 4: Simplify right side
    814.01x = 636,021.45
  5. Step 5: Solve for x
    x = 636,021.45/814.01
  6. Step 6: Final answer
    x = 781.35

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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.