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Finding the Fourth Proportional to 772.82, 1,159.68 and 253.20

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Solution

The fourth proportional to 772.82, 1,159.68 and 253.20 is: 379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.82 : 1,159.68 = 253.20 : x
  2. Step 2: Convert to fraction form
    772.82/1,159.68 = 253.20/x
  3. Step 3: Cross multiply
    772.82x = 1,159.68 × 253.20
  4. Step 4: Simplify right side
    772.82x = 293,630.98
  5. Step 5: Solve for x
    x = 293,630.98/772.82
  6. Step 6: Final answer
    x = 379.95

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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.