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Finding the Fourth Proportional to 749.92, 1,034.96 and 418.47

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Solution

The fourth proportional to 749.92, 1,034.96 and 418.47 is: 577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.92 : 1,034.96 = 418.47 : x
  2. Step 2: Convert to fraction form
    749.92/1,034.96 = 418.47/x
  3. Step 3: Cross multiply
    749.92x = 1,034.96 × 418.47
  4. Step 4: Simplify right side
    749.92x = 433,099.71
  5. Step 5: Solve for x
    x = 433,099.71/749.92
  6. Step 6: Final answer
    x = 577.53

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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.