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Finding the Fourth Proportional to 1,188.48, 1,640.82 and 769.02

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Solution

The fourth proportional to 1,188.48, 1,640.82 and 769.02 is: 1,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.48 : 1,640.82 = 769.02 : x
  2. Step 2: Convert to fraction form
    1,188.48/1,640.82 = 769.02/x
  3. Step 3: Cross multiply
    1,188.48x = 1,640.82 × 769.02
  4. Step 4: Simplify right side
    1,188.48x = 1,261,823.40
  5. Step 5: Solve for x
    x = 1,261,823.40/1,188.48
  6. Step 6: Final answer
    x = 1,061.71

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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.