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Finding the Fourth Proportional to 709.48, 1,064.36 and 344.52

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Solution

The fourth proportional to 709.48, 1,064.36 and 344.52 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.48 : 1,064.36 = 344.52 : x
  2. Step 2: Convert to fraction form
    709.48/1,064.36 = 344.52/x
  3. Step 3: Cross multiply
    709.48x = 1,064.36 × 344.52
  4. Step 4: Simplify right side
    709.48x = 366,693.31
  5. Step 5: Solve for x
    x = 366,693.31/709.48
  6. Step 6: Final answer
    x = 516.85

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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.