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Finding the Fourth Proportional to 749.42, 1,034.21 and 434.69

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Solution

The fourth proportional to 749.42, 1,034.21 and 434.69 is: 599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.42 : 1,034.21 = 434.69 : x
  2. Step 2: Convert to fraction form
    749.42/1,034.21 = 434.69/x
  3. Step 3: Cross multiply
    749.42x = 1,034.21 × 434.69
  4. Step 4: Simplify right side
    749.42x = 449,553.40
  5. Step 5: Solve for x
    x = 449,553.40/749.42
  6. Step 6: Final answer
    x = 599.87

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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.