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Finding the Fourth Proportional to 1,180.60, 1,768.49 and 562.44

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Solution

The fourth proportional to 1,180.60, 1,768.49 and 562.44 is: 842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.60 : 1,768.49 = 562.44 : x
  2. Step 2: Convert to fraction form
    1,180.60/1,768.49 = 562.44/x
  3. Step 3: Cross multiply
    1,180.60x = 1,768.49 × 562.44
  4. Step 4: Simplify right side
    1,180.60x = 994,669.52
  5. Step 5: Solve for x
    x = 994,669.52/1,180.60
  6. Step 6: Final answer
    x = 842.51

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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.