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Finding the Fourth Proportional to 1,076.52, 1,615.70 and 769.13

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Solution

The fourth proportional to 1,076.52, 1,615.70 and 769.13 is: 1,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.52 : 1,615.70 = 769.13 : x
  2. Step 2: Convert to fraction form
    1,076.52/1,615.70 = 769.13/x
  3. Step 3: Cross multiply
    1,076.52x = 1,615.70 × 769.13
  4. Step 4: Simplify right side
    1,076.52x = 1,242,683.34
  5. Step 5: Solve for x
    x = 1,242,683.34/1,076.52
  6. Step 6: Final answer
    x = 1,154.35

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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.