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Finding the Fourth Proportional to 1,138.67, 1,706.17 and 1,029.32

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Solution

The fourth proportional to 1,138.67, 1,706.17 and 1,029.32 is: 1,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.67 : 1,706.17 = 1,029.32 : x
  2. Step 2: Convert to fraction form
    1,138.67/1,706.17 = 1,029.32/x
  3. Step 3: Cross multiply
    1,138.67x = 1,706.17 × 1,029.32
  4. Step 4: Simplify right side
    1,138.67x = 1,756,194.90
  5. Step 5: Solve for x
    x = 1,756,194.90/1,138.67
  6. Step 6: Final answer
    x = 1,542.32

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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.