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Finding the Fourth Proportional to 1,125.70, 1,685.94 and 1,086.77

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Solution

The fourth proportional to 1,125.70, 1,685.94 and 1,086.77 is: 1,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.70 : 1,685.94 = 1,086.77 : x
  2. Step 2: Convert to fraction form
    1,125.70/1,685.94 = 1,086.77/x
  3. Step 3: Cross multiply
    1,125.70x = 1,685.94 × 1,086.77
  4. Step 4: Simplify right side
    1,125.70x = 1,832,220.58
  5. Step 5: Solve for x
    x = 1,832,220.58/1,125.70
  6. Step 6: Final answer
    x = 1,627.63

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