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Finding the Fourth Proportional to 709.12, 1,063.56 and 247.24

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Solution

The fourth proportional to 709.12, 1,063.56 and 247.24 is: 370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.12 : 1,063.56 = 247.24 : x
  2. Step 2: Convert to fraction form
    709.12/1,063.56 = 247.24/x
  3. Step 3: Cross multiply
    709.12x = 1,063.56 × 247.24
  4. Step 4: Simplify right side
    709.12x = 262,954.57
  5. Step 5: Solve for x
    x = 262,954.57/709.12
  6. Step 6: Final answer
    x = 370.82

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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.