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Finding the Fourth Proportional to 774.53, 1,162.43 and 514.66

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Solution

The fourth proportional to 774.53, 1,162.43 and 514.66 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.53 : 1,162.43 = 514.66 : x
  2. Step 2: Convert to fraction form
    774.53/1,162.43 = 514.66/x
  3. Step 3: Cross multiply
    774.53x = 1,162.43 × 514.66
  4. Step 4: Simplify right side
    774.53x = 598,257.75
  5. Step 5: Solve for x
    x = 598,257.75/774.53
  6. Step 6: Final answer
    x = 772.42

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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.