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Finding the Fourth Proportional to 814.25, 1,122.93 and 534.39

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Solution

The fourth proportional to 814.25, 1,122.93 and 534.39 is: 736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.25 : 1,122.93 = 534.39 : x
  2. Step 2: Convert to fraction form
    814.25/1,122.93 = 534.39/x
  3. Step 3: Cross multiply
    814.25x = 1,122.93 × 534.39
  4. Step 4: Simplify right side
    814.25x = 600,082.56
  5. Step 5: Solve for x
    x = 600,082.56/814.25
  6. Step 6: Final answer
    x = 736.98

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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.