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Finding the Fourth Proportional to 847.56, 1,175.31 and 819.92

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Solution

The fourth proportional to 847.56, 1,175.31 and 819.92 is: 1,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.56 : 1,175.31 = 819.92 : x
  2. Step 2: Convert to fraction form
    847.56/1,175.31 = 819.92/x
  3. Step 3: Cross multiply
    847.56x = 1,175.31 × 819.92
  4. Step 4: Simplify right side
    847.56x = 963,663.11
  5. Step 5: Solve for x
    x = 963,663.11/847.56
  6. Step 6: Final answer
    x = 1,136.98

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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.