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Finding the Fourth Proportional to 749.25, 1,123.29 and 517.46

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Solution

The fourth proportional to 749.25, 1,123.29 and 517.46 is: 775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,123.29 = 517.46 : x
  2. Step 2: Convert to fraction form
    749.25/1,123.29 = 517.46/x
  3. Step 3: Cross multiply
    749.25x = 1,123.29 × 517.46
  4. Step 4: Simplify right side
    749.25x = 581,252.03
  5. Step 5: Solve for x
    x = 581,252.03/749.25
  6. Step 6: Final answer
    x = 775.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.