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Finding the Fourth Proportional to 1,105.83, 1,659.12 and 694.48

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Solution

The fourth proportional to 1,105.83, 1,659.12 and 694.48 is: 1,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.83 : 1,659.12 = 694.48 : x
  2. Step 2: Convert to fraction form
    1,105.83/1,659.12 = 694.48/x
  3. Step 3: Cross multiply
    1,105.83x = 1,659.12 × 694.48
  4. Step 4: Simplify right side
    1,105.83x = 1,152,222.19
  5. Step 5: Solve for x
    x = 1,152,222.19/1,105.83
  6. Step 6: Final answer
    x = 1,041.96

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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.