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Finding the Fourth Proportional to 1,218.98, 1,826.16 and 601.96

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Solution

The fourth proportional to 1,218.98, 1,826.16 and 601.96 is: 901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.98 : 1,826.16 = 601.96 : x
  2. Step 2: Convert to fraction form
    1,218.98/1,826.16 = 601.96/x
  3. Step 3: Cross multiply
    1,218.98x = 1,826.16 × 601.96
  4. Step 4: Simplify right side
    1,218.98x = 1,099,275.27
  5. Step 5: Solve for x
    x = 1,099,275.27/1,218.98
  6. Step 6: Final answer
    x = 901.80

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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.