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Finding the Fourth Proportional to 1,189.60, 1,642.01 and 769.97

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Solution

The fourth proportional to 1,189.60, 1,642.01 and 769.97 is: 1,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.60 : 1,642.01 = 769.97 : x
  2. Step 2: Convert to fraction form
    1,189.60/1,642.01 = 769.97/x
  3. Step 3: Cross multiply
    1,189.60x = 1,642.01 × 769.97
  4. Step 4: Simplify right side
    1,189.60x = 1,264,298.69
  5. Step 5: Solve for x
    x = 1,264,298.69/1,189.60
  6. Step 6: Final answer
    x = 1,062.80

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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.