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Finding the Fourth Proportional to 1,217.88, 1,680.57 and 745.83

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Solution

The fourth proportional to 1,217.88, 1,680.57 and 745.83 is: 1,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.88 : 1,680.57 = 745.83 : x
  2. Step 2: Convert to fraction form
    1,217.88/1,680.57 = 745.83/x
  3. Step 3: Cross multiply
    1,217.88x = 1,680.57 × 745.83
  4. Step 4: Simplify right side
    1,217.88x = 1,253,419.52
  5. Step 5: Solve for x
    x = 1,253,419.52/1,217.88
  6. Step 6: Final answer
    x = 1,029.18

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Why These Related Problems?

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