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Finding the Fourth Proportional to 769.97, 1,155.12 and 307.80

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Solution

The fourth proportional to 769.97, 1,155.12 and 307.80 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.97 : 1,155.12 = 307.80 : x
  2. Step 2: Convert to fraction form
    769.97/1,155.12 = 307.80/x
  3. Step 3: Cross multiply
    769.97x = 1,155.12 × 307.80
  4. Step 4: Simplify right side
    769.97x = 355,545.94
  5. Step 5: Solve for x
    x = 355,545.94/769.97
  6. Step 6: Final answer
    x = 461.77

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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.