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Finding the Fourth Proportional to 992.29, 1,489.89 and 974.79

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Solution

The fourth proportional to 992.29, 1,489.89 and 974.79 is: 1,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.29 : 1,489.89 = 974.79 : x
  2. Step 2: Convert to fraction form
    992.29/1,489.89 = 974.79/x
  3. Step 3: Cross multiply
    992.29x = 1,489.89 × 974.79
  4. Step 4: Simplify right side
    992.29x = 1,452,329.87
  5. Step 5: Solve for x
    x = 1,452,329.87/992.29
  6. Step 6: Final answer
    x = 1,463.61

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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.