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Finding the Fourth Proportional to 734.70, 1,013.49 and 439.86

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Solution

The fourth proportional to 734.70, 1,013.49 and 439.86 is: 606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,013.49 = 439.86 : x
  2. Step 2: Convert to fraction form
    734.70/1,013.49 = 439.86/x
  3. Step 3: Cross multiply
    734.70x = 1,013.49 × 439.86
  4. Step 4: Simplify right side
    734.70x = 445,793.71
  5. Step 5: Solve for x
    x = 445,793.71/734.70
  6. Step 6: Final answer
    x = 606.77

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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.