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Finding the Fourth Proportional to 1,187.80, 1,781.52 and 322

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Solution

The fourth proportional to 1,187.80, 1,781.52 and 322 is: 482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.80 : 1,781.52 = 322 : x
  2. Step 2: Convert to fraction form
    1,187.80/1,781.52 = 322/x
  3. Step 3: Cross multiply
    1,187.80x = 1,781.52 × 322
  4. Step 4: Simplify right side
    1,187.80x = 573,649.44
  5. Step 5: Solve for x
    x = 573,649.44/1,187.80
  6. Step 6: Final answer
    x = 482.95

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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.