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Finding the Fourth Proportional to 1,106.26, 1,656.92 and 694.17

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Solution

The fourth proportional to 1,106.26, 1,656.92 and 694.17 is: 1,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.26 : 1,656.92 = 694.17 : x
  2. Step 2: Convert to fraction form
    1,106.26/1,656.92 = 694.17/x
  3. Step 3: Cross multiply
    1,106.26x = 1,656.92 × 694.17
  4. Step 4: Simplify right side
    1,106.26x = 1,150,185.89
  5. Step 5: Solve for x
    x = 1,150,185.89/1,106.26
  6. Step 6: Final answer
    x = 1,039.71

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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.