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Finding the Fourth Proportional to 734.46, 1,013.63 and 439.70

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Solution

The fourth proportional to 734.46, 1,013.63 and 439.70 is: 606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.46 : 1,013.63 = 439.70 : x
  2. Step 2: Convert to fraction form
    734.46/1,013.63 = 439.70/x
  3. Step 3: Cross multiply
    734.46x = 1,013.63 × 439.70
  4. Step 4: Simplify right side
    734.46x = 445,693.11
  5. Step 5: Solve for x
    x = 445,693.11/734.46
  6. Step 6: Final answer
    x = 606.83

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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.