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Finding the Fourth Proportional to 769.72, 1,154.82 and 307.75

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Solution

The fourth proportional to 769.72, 1,154.82 and 307.75 is: 461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.72 : 1,154.82 = 307.75 : x
  2. Step 2: Convert to fraction form
    769.72/1,154.82 = 307.75/x
  3. Step 3: Cross multiply
    769.72x = 1,154.82 × 307.75
  4. Step 4: Simplify right side
    769.72x = 355,395.86
  5. Step 5: Solve for x
    x = 355,395.86/769.72
  6. Step 6: Final answer
    x = 461.72

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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.