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Finding the Fourth Proportional to 1,189.68, 1,641.77 and 685.42

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Solution

The fourth proportional to 1,189.68, 1,641.77 and 685.42 is: 945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.68 : 1,641.77 = 685.42 : x
  2. Step 2: Convert to fraction form
    1,189.68/1,641.77 = 685.42/x
  3. Step 3: Cross multiply
    1,189.68x = 1,641.77 × 685.42
  4. Step 4: Simplify right side
    1,189.68x = 1,125,299.60
  5. Step 5: Solve for x
    x = 1,125,299.60/1,189.68
  6. Step 6: Final answer
    x = 945.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.