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Finding the Fourth Proportional to 772.78, 1,160 and 310.88

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Solution

The fourth proportional to 772.78, 1,160 and 310.88 is: 466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.78 : 1,160 = 310.88 : x
  2. Step 2: Convert to fraction form
    772.78/1,160 = 310.88/x
  3. Step 3: Cross multiply
    772.78x = 1,160 × 310.88
  4. Step 4: Simplify right side
    772.78x = 360,620.80
  5. Step 5: Solve for x
    x = 360,620.80/772.78
  6. Step 6: Final answer
    x = 466.65

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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.