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Finding the Fourth Proportional to 1,335.67, 1,843.12 and 746.17

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Solution

The fourth proportional to 1,335.67, 1,843.12 and 746.17 is: 1,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.67 : 1,843.12 = 746.17 : x
  2. Step 2: Convert to fraction form
    1,335.67/1,843.12 = 746.17/x
  3. Step 3: Cross multiply
    1,335.67x = 1,843.12 × 746.17
  4. Step 4: Simplify right side
    1,335.67x = 1,375,280.85
  5. Step 5: Solve for x
    x = 1,375,280.85/1,335.67
  6. Step 6: Final answer
    x = 1,029.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.