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Finding the Fourth Proportional to 1,324.28, 1,986.59 and 769.24

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Solution

The fourth proportional to 1,324.28, 1,986.59 and 769.24 is: 1,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.28 : 1,986.59 = 769.24 : x
  2. Step 2: Convert to fraction form
    1,324.28/1,986.59 = 769.24/x
  3. Step 3: Cross multiply
    1,324.28x = 1,986.59 × 769.24
  4. Step 4: Simplify right side
    1,324.28x = 1,528,166.01
  5. Step 5: Solve for x
    x = 1,528,166.01/1,324.28
  6. Step 6: Final answer
    x = 1,153.96

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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.