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Finding the Fourth Proportional to 749.43, 1,034.17 and 434.46

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Solution

The fourth proportional to 749.43, 1,034.17 and 434.46 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.43 : 1,034.17 = 434.46 : x
  2. Step 2: Convert to fraction form
    749.43/1,034.17 = 434.46/x
  3. Step 3: Cross multiply
    749.43x = 1,034.17 × 434.46
  4. Step 4: Simplify right side
    749.43x = 449,305.50
  5. Step 5: Solve for x
    x = 449,305.50/749.43
  6. Step 6: Final answer
    x = 599.53

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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.