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Finding the Fourth Proportional to 770.72, 1,154.55 and 461.71

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Solution

The fourth proportional to 770.72, 1,154.55 and 461.71 is: 691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.72 : 1,154.55 = 461.71 : x
  2. Step 2: Convert to fraction form
    770.72/1,154.55 = 461.71/x
  3. Step 3: Cross multiply
    770.72x = 1,154.55 × 461.71
  4. Step 4: Simplify right side
    770.72x = 533,067.28
  5. Step 5: Solve for x
    x = 533,067.28/770.72
  6. Step 6: Final answer
    x = 691.65

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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.