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Finding the Fourth Proportional to 1,218.04, 1,826.90 and 559.96

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Solution

The fourth proportional to 1,218.04, 1,826.90 and 559.96 is: 839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.04 : 1,826.90 = 559.96 : x
  2. Step 2: Convert to fraction form
    1,218.04/1,826.90 = 559.96/x
  3. Step 3: Cross multiply
    1,218.04x = 1,826.90 × 559.96
  4. Step 4: Simplify right side
    1,218.04x = 1,022,999.08
  5. Step 5: Solve for x
    x = 1,022,999.08/1,218.04
  6. Step 6: Final answer
    x = 839.87

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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.