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Finding the Fourth Proportional to 1,092.60, 1,630.55 and 847.80

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Solution

The fourth proportional to 1,092.60, 1,630.55 and 847.80 is: 1,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.60 : 1,630.55 = 847.80 : x
  2. Step 2: Convert to fraction form
    1,092.60/1,630.55 = 847.80/x
  3. Step 3: Cross multiply
    1,092.60x = 1,630.55 × 847.80
  4. Step 4: Simplify right side
    1,092.60x = 1,382,380.29
  5. Step 5: Solve for x
    x = 1,382,380.29/1,092.60
  6. Step 6: Final answer
    x = 1,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.