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Finding the Fourth Proportional to 709.92, 1,065.48 and 704.52

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Solution

The fourth proportional to 709.92, 1,065.48 and 704.52 is: 1,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 1,065.48 = 704.52 : x
  2. Step 2: Convert to fraction form
    709.92/1,065.48 = 704.52/x
  3. Step 3: Cross multiply
    709.92x = 1,065.48 × 704.52
  4. Step 4: Simplify right side
    709.92x = 750,651.97
  5. Step 5: Solve for x
    x = 750,651.97/709.92
  6. Step 6: Final answer
    x = 1,057.38

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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.