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Finding the Fourth Proportional to 997.92, 1,498.08 and 709.60

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Solution

The fourth proportional to 997.92, 1,498.08 and 709.60 is: 1,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,498.08 = 709.60 : x
  2. Step 2: Convert to fraction form
    997.92/1,498.08 = 709.60/x
  3. Step 3: Cross multiply
    997.92x = 1,498.08 × 709.60
  4. Step 4: Simplify right side
    997.92x = 1,063,037.57
  5. Step 5: Solve for x
    x = 1,063,037.57/997.92
  6. Step 6: Final answer
    x = 1,065.25

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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.