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Finding the Fourth Proportional to 992.79, 1,487.97 and 505.58

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Solution

The fourth proportional to 992.79, 1,487.97 and 505.58 is: 757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.79 : 1,487.97 = 505.58 : x
  2. Step 2: Convert to fraction form
    992.79/1,487.97 = 505.58/x
  3. Step 3: Cross multiply
    992.79x = 1,487.97 × 505.58
  4. Step 4: Simplify right side
    992.79x = 752,280.43
  5. Step 5: Solve for x
    x = 752,280.43/992.79
  6. Step 6: Final answer
    x = 757.74

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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.