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Finding the Fourth Proportional to 1,106.28, 1,660.45 and 558.85

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Solution

The fourth proportional to 1,106.28, 1,660.45 and 558.85 is: 838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.28 : 1,660.45 = 558.85 : x
  2. Step 2: Convert to fraction form
    1,106.28/1,660.45 = 558.85/x
  3. Step 3: Cross multiply
    1,106.28x = 1,660.45 × 558.85
  4. Step 4: Simplify right side
    1,106.28x = 927,940.41
  5. Step 5: Solve for x
    x = 927,940.41/1,106.28
  6. Step 6: Final answer
    x = 838.79

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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.