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Finding the Fourth Proportional to 1,217.61, 1,679.70 and 798.66

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Solution

The fourth proportional to 1,217.61, 1,679.70 and 798.66 is: 1,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.61 : 1,679.70 = 798.66 : x
  2. Step 2: Convert to fraction form
    1,217.61/1,679.70 = 798.66/x
  3. Step 3: Cross multiply
    1,217.61x = 1,679.70 × 798.66
  4. Step 4: Simplify right side
    1,217.61x = 1,341,509.20
  5. Step 5: Solve for x
    x = 1,341,509.20/1,217.61
  6. Step 6: Final answer
    x = 1,101.76

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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.