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Finding the Fourth Proportional to 769.82, 1,149.49 and 614

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Solution

The fourth proportional to 769.82, 1,149.49 and 614 is: 916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.82 : 1,149.49 = 614 : x
  2. Step 2: Convert to fraction form
    769.82/1,149.49 = 614/x
  3. Step 3: Cross multiply
    769.82x = 1,149.49 × 614
  4. Step 4: Simplify right side
    769.82x = 705,786.86
  5. Step 5: Solve for x
    x = 705,786.86/769.82
  6. Step 6: Final answer
    x = 916.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.