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Finding the Fourth Proportional to 913.20, 1,260.84 and 819.66

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Solution

The fourth proportional to 913.20, 1,260.84 and 819.66 is: 1,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.20 : 1,260.84 = 819.66 : x
  2. Step 2: Convert to fraction form
    913.20/1,260.84 = 819.66/x
  3. Step 3: Cross multiply
    913.20x = 1,260.84 × 819.66
  4. Step 4: Simplify right side
    913.20x = 1,033,460.11
  5. Step 5: Solve for x
    x = 1,033,460.11/913.20
  6. Step 6: Final answer
    x = 1,131.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.