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Finding the Fourth Proportional to 749.40, 1,034.12 and 434.64

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Solution

The fourth proportional to 749.40, 1,034.12 and 434.64 is: 599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.40 : 1,034.12 = 434.64 : x
  2. Step 2: Convert to fraction form
    749.40/1,034.12 = 434.64/x
  3. Step 3: Cross multiply
    749.40x = 1,034.12 × 434.64
  4. Step 4: Simplify right side
    749.40x = 449,469.92
  5. Step 5: Solve for x
    x = 449,469.92/749.40
  6. Step 6: Final answer
    x = 599.77

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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.