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Finding the Fourth Proportional to 770.13, 1,155.78 and 461.03

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Solution

The fourth proportional to 770.13, 1,155.78 and 461.03 is: 691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.13 : 1,155.78 = 461.03 : x
  2. Step 2: Convert to fraction form
    770.13/1,155.78 = 461.03/x
  3. Step 3: Cross multiply
    770.13x = 1,155.78 × 461.03
  4. Step 4: Simplify right side
    770.13x = 532,843.47
  5. Step 5: Solve for x
    x = 532,843.47/770.13
  6. Step 6: Final answer
    x = 691.89

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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.