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Finding the Fourth Proportional to 992.02, 1,487.41 and 505.42

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Solution

The fourth proportional to 992.02, 1,487.41 and 505.42 is: 757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.02 : 1,487.41 = 505.42 : x
  2. Step 2: Convert to fraction form
    992.02/1,487.41 = 505.42/x
  3. Step 3: Cross multiply
    992.02x = 1,487.41 × 505.42
  4. Step 4: Simplify right side
    992.02x = 751,766.76
  5. Step 5: Solve for x
    x = 751,766.76/992.02
  6. Step 6: Final answer
    x = 757.81

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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.