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Finding the Fourth Proportional to 1,187.42, 1,781.12 and 321.80

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Solution

The fourth proportional to 1,187.42, 1,781.12 and 321.80 is: 482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.42 : 1,781.12 = 321.80 : x
  2. Step 2: Convert to fraction form
    1,187.42/1,781.12 = 321.80/x
  3. Step 3: Cross multiply
    1,187.42x = 1,781.12 × 321.80
  4. Step 4: Simplify right side
    1,187.42x = 573,153.90
  5. Step 5: Solve for x
    x = 573,153.90/1,187.42
  6. Step 6: Final answer
    x = 482.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.