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Finding the Fourth Proportional to 749.56, 1,034.04 and 487.48

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Solution

The fourth proportional to 749.56, 1,034.04 and 487.48 is: 672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.56 : 1,034.04 = 487.48 : x
  2. Step 2: Convert to fraction form
    749.56/1,034.04 = 487.48/x
  3. Step 3: Cross multiply
    749.56x = 1,034.04 × 487.48
  4. Step 4: Simplify right side
    749.56x = 504,073.82
  5. Step 5: Solve for x
    x = 504,073.82/749.56
  6. Step 6: Final answer
    x = 672.49

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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.