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Finding the Fourth Proportional to 1,125.97, 1,690.94 and 1,080.61

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Solution

The fourth proportional to 1,125.97, 1,690.94 and 1,080.61 is: 1,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.97 : 1,690.94 = 1,080.61 : x
  2. Step 2: Convert to fraction form
    1,125.97/1,690.94 = 1,080.61/x
  3. Step 3: Cross multiply
    1,125.97x = 1,690.94 × 1,080.61
  4. Step 4: Simplify right side
    1,125.97x = 1,827,246.67
  5. Step 5: Solve for x
    x = 1,827,246.67/1,125.97
  6. Step 6: Final answer
    x = 1,622.82

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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.