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Finding the Fourth Proportional to 709.92, 1,064.62 and 247.58

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Solution

The fourth proportional to 709.92, 1,064.62 and 247.58 is: 371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 1,064.62 = 247.58 : x
  2. Step 2: Convert to fraction form
    709.92/1,064.62 = 247.58/x
  3. Step 3: Cross multiply
    709.92x = 1,064.62 × 247.58
  4. Step 4: Simplify right side
    709.92x = 263,574.73
  5. Step 5: Solve for x
    x = 263,574.73/709.92
  6. Step 6: Final answer
    x = 371.27

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