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Finding the Fourth Proportional to 987.41, 1,480.10 and 743.19

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Solution

The fourth proportional to 987.41, 1,480.10 and 743.19 is: 1,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.41 : 1,480.10 = 743.19 : x
  2. Step 2: Convert to fraction form
    987.41/1,480.10 = 743.19/x
  3. Step 3: Cross multiply
    987.41x = 1,480.10 × 743.19
  4. Step 4: Simplify right side
    987.41x = 1,099,991.80
  5. Step 5: Solve for x
    x = 1,099,991.80/987.41
  6. Step 6: Final answer
    x = 1,114.02

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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.