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Finding the Fourth Proportional to 849.59, 1,177.86 and 819.52

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Solution

The fourth proportional to 849.59, 1,177.86 and 819.52 is: 1,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.59 : 1,177.86 = 819.52 : x
  2. Step 2: Convert to fraction form
    849.59/1,177.86 = 819.52/x
  3. Step 3: Cross multiply
    849.59x = 1,177.86 × 819.52
  4. Step 4: Simplify right side
    849.59x = 965,279.96
  5. Step 5: Solve for x
    x = 965,279.96/849.59
  6. Step 6: Final answer
    x = 1,136.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.