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Finding the Fourth Proportional to 770.77, 1,156.17 and 308.53

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Solution

The fourth proportional to 770.77, 1,156.17 and 308.53 is: 462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.77 : 1,156.17 = 308.53 : x
  2. Step 2: Convert to fraction form
    770.77/1,156.17 = 308.53/x
  3. Step 3: Cross multiply
    770.77x = 1,156.17 × 308.53
  4. Step 4: Simplify right side
    770.77x = 356,713.13
  5. Step 5: Solve for x
    x = 356,713.13/770.77
  6. Step 6: Final answer
    x = 462.80

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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.