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Finding the Fourth Proportional to 1,218.52, 1,826.84 and 601.80

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Solution

The fourth proportional to 1,218.52, 1,826.84 and 601.80 is: 902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.52 : 1,826.84 = 601.80 : x
  2. Step 2: Convert to fraction form
    1,218.52/1,826.84 = 601.80/x
  3. Step 3: Cross multiply
    1,218.52x = 1,826.84 × 601.80
  4. Step 4: Simplify right side
    1,218.52x = 1,099,389.30
  5. Step 5: Solve for x
    x = 1,099,389.30/1,218.52
  6. Step 6: Final answer
    x = 902.24

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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.