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Finding the Fourth Proportional to 709.38, 1,064.28 and 270.83

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Solution

The fourth proportional to 709.38, 1,064.28 and 270.83 is: 406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.38 : 1,064.28 = 270.83 : x
  2. Step 2: Convert to fraction form
    709.38/1,064.28 = 270.83/x
  3. Step 3: Cross multiply
    709.38x = 1,064.28 × 270.83
  4. Step 4: Simplify right side
    709.38x = 288,233.63
  5. Step 5: Solve for x
    x = 288,233.63/709.38
  6. Step 6: Final answer
    x = 406.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.