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Finding the Fourth Proportional to 709.40, 1,064.02 and 247.09

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Solution

The fourth proportional to 709.40, 1,064.02 and 247.09 is: 370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,064.02 = 247.09 : x
  2. Step 2: Convert to fraction form
    709.40/1,064.02 = 247.09/x
  3. Step 3: Cross multiply
    709.40x = 1,064.02 × 247.09
  4. Step 4: Simplify right side
    709.40x = 262,908.70
  5. Step 5: Solve for x
    x = 262,908.70/709.40
  6. Step 6: Final answer
    x = 370.61

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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.