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Finding the Fourth Proportional to 1,124.70, 1,680.37 and 1,086.42

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Solution

The fourth proportional to 1,124.70, 1,680.37 and 1,086.42 is: 1,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.70 : 1,680.37 = 1,086.42 : x
  2. Step 2: Convert to fraction form
    1,124.70/1,680.37 = 1,086.42/x
  3. Step 3: Cross multiply
    1,124.70x = 1,680.37 × 1,086.42
  4. Step 4: Simplify right side
    1,124.70x = 1,825,587.58
  5. Step 5: Solve for x
    x = 1,825,587.58/1,124.70
  6. Step 6: Final answer
    x = 1,623.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.