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Finding the Fourth Proportional to 1,105.25, 1,656.76 and 694.68

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Solution

The fourth proportional to 1,105.25, 1,656.76 and 694.68 is: 1,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.25 : 1,656.76 = 694.68 : x
  2. Step 2: Convert to fraction form
    1,105.25/1,656.76 = 694.68/x
  3. Step 3: Cross multiply
    1,105.25x = 1,656.76 × 694.68
  4. Step 4: Simplify right side
    1,105.25x = 1,150,918.04
  5. Step 5: Solve for x
    x = 1,150,918.04/1,105.25
  6. Step 6: Final answer
    x = 1,041.32

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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.