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Finding the Fourth Proportional to 749.54, 1,034.31 and 434.78

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Solution

The fourth proportional to 749.54, 1,034.31 and 434.78 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.54 : 1,034.31 = 434.78 : x
  2. Step 2: Convert to fraction form
    749.54/1,034.31 = 434.78/x
  3. Step 3: Cross multiply
    749.54x = 1,034.31 × 434.78
  4. Step 4: Simplify right side
    749.54x = 449,697.30
  5. Step 5: Solve for x
    x = 449,697.30/749.54
  6. Step 6: Final answer
    x = 599.96

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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.