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Finding the Fourth Proportional to 1,106.33, 1,659.49 and 863.06

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Solution

The fourth proportional to 1,106.33, 1,659.49 and 863.06 is: 1,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.33 : 1,659.49 = 863.06 : x
  2. Step 2: Convert to fraction form
    1,106.33/1,659.49 = 863.06/x
  3. Step 3: Cross multiply
    1,106.33x = 1,659.49 × 863.06
  4. Step 4: Simplify right side
    1,106.33x = 1,432,228.98
  5. Step 5: Solve for x
    x = 1,432,228.98/1,106.33
  6. Step 6: Final answer
    x = 1,294.58

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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.