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Finding the Fourth Proportional to 1,218.24, 1,827.82 and 731.63

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Solution

The fourth proportional to 1,218.24, 1,827.82 and 731.63 is: 1,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.24 : 1,827.82 = 731.63 : x
  2. Step 2: Convert to fraction form
    1,218.24/1,827.82 = 731.63/x
  3. Step 3: Cross multiply
    1,218.24x = 1,827.82 × 731.63
  4. Step 4: Simplify right side
    1,218.24x = 1,337,287.95
  5. Step 5: Solve for x
    x = 1,337,287.95/1,218.24
  6. Step 6: Final answer
    x = 1,097.72

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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.