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Finding the Fourth Proportional to 1,113.26, 1,671.10 and 1,086.52

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Solution

The fourth proportional to 1,113.26, 1,671.10 and 1,086.52 is: 1,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.26 : 1,671.10 = 1,086.52 : x
  2. Step 2: Convert to fraction form
    1,113.26/1,671.10 = 1,086.52/x
  3. Step 3: Cross multiply
    1,113.26x = 1,671.10 × 1,086.52
  4. Step 4: Simplify right side
    1,113.26x = 1,815,683.57
  5. Step 5: Solve for x
    x = 1,815,683.57/1,113.26
  6. Step 6: Final answer
    x = 1,630.96

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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.