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Finding the Fourth Proportional to 1,218.13, 1,827.69 and 601.82

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Solution

The fourth proportional to 1,218.13, 1,827.69 and 601.82 is: 902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.13 : 1,827.69 = 601.82 : x
  2. Step 2: Convert to fraction form
    1,218.13/1,827.69 = 601.82/x
  3. Step 3: Cross multiply
    1,218.13x = 1,827.69 × 601.82
  4. Step 4: Simplify right side
    1,218.13x = 1,099,940.40
  5. Step 5: Solve for x
    x = 1,099,940.40/1,218.13
  6. Step 6: Final answer
    x = 902.97

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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.