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Finding the Fourth Proportional to 1,188.11, 1,781.60 and 694.65

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Solution

The fourth proportional to 1,188.11, 1,781.60 and 694.65 is: 1,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.11 : 1,781.60 = 694.65 : x
  2. Step 2: Convert to fraction form
    1,188.11/1,781.60 = 694.65/x
  3. Step 3: Cross multiply
    1,188.11x = 1,781.60 × 694.65
  4. Step 4: Simplify right side
    1,188.11x = 1,237,584.97
  5. Step 5: Solve for x
    x = 1,237,584.97/1,188.11
  6. Step 6: Final answer
    x = 1,041.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.