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Finding the Fourth Proportional to 1,073.76, 1,611.18 and 813.66

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Solution

The fourth proportional to 1,073.76, 1,611.18 and 813.66 is: 1,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.76 : 1,611.18 = 813.66 : x
  2. Step 2: Convert to fraction form
    1,073.76/1,611.18 = 813.66/x
  3. Step 3: Cross multiply
    1,073.76x = 1,611.18 × 813.66
  4. Step 4: Simplify right side
    1,073.76x = 1,310,952.72
  5. Step 5: Solve for x
    x = 1,310,952.72/1,073.76
  6. Step 6: Final answer
    x = 1,220.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.