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Finding the Fourth Proportional to 749.25, 1,034.06 and 487.49

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Solution

The fourth proportional to 749.25, 1,034.06 and 487.49 is: 672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,034.06 = 487.49 : x
  2. Step 2: Convert to fraction form
    749.25/1,034.06 = 487.49/x
  3. Step 3: Cross multiply
    749.25x = 1,034.06 × 487.49
  4. Step 4: Simplify right side
    749.25x = 504,086.30
  5. Step 5: Solve for x
    x = 504,086.30/749.25
  6. Step 6: Final answer
    x = 672.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.