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Finding the Fourth Proportional to 709.63, 1,064.18 and 247.28

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Solution

The fourth proportional to 709.63, 1,064.18 and 247.28 is: 370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.63 : 1,064.18 = 247.28 : x
  2. Step 2: Convert to fraction form
    709.63/1,064.18 = 247.28/x
  3. Step 3: Cross multiply
    709.63x = 1,064.18 × 247.28
  4. Step 4: Simplify right side
    709.63x = 263,150.43
  5. Step 5: Solve for x
    x = 263,150.43/709.63
  6. Step 6: Final answer
    x = 370.83

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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.