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Finding the Fourth Proportional to 814.55, 1,123.28 and 747.10

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Solution

The fourth proportional to 814.55, 1,123.28 and 747.10 is: 1,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.55 : 1,123.28 = 747.10 : x
  2. Step 2: Convert to fraction form
    814.55/1,123.28 = 747.10/x
  3. Step 3: Cross multiply
    814.55x = 1,123.28 × 747.10
  4. Step 4: Simplify right side
    814.55x = 839,202.49
  5. Step 5: Solve for x
    x = 839,202.49/814.55
  6. Step 6: Final answer
    x = 1,030.27

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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.