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Finding the Fourth Proportional to 774.75, 1,162.17 and 312.57

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Solution

The fourth proportional to 774.75, 1,162.17 and 312.57 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.75 : 1,162.17 = 312.57 : x
  2. Step 2: Convert to fraction form
    774.75/1,162.17 = 312.57/x
  3. Step 3: Cross multiply
    774.75x = 1,162.17 × 312.57
  4. Step 4: Simplify right side
    774.75x = 363,259.48
  5. Step 5: Solve for x
    x = 363,259.48/774.75
  6. Step 6: Final answer
    x = 468.87

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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.