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Finding the Fourth Proportional to 1,218.12, 1,826.72 and 396.20

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Solution

The fourth proportional to 1,218.12, 1,826.72 and 396.20 is: 594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.12 : 1,826.72 = 396.20 : x
  2. Step 2: Convert to fraction form
    1,218.12/1,826.72 = 396.20/x
  3. Step 3: Cross multiply
    1,218.12x = 1,826.72 × 396.20
  4. Step 4: Simplify right side
    1,218.12x = 723,746.46
  5. Step 5: Solve for x
    x = 723,746.46/1,218.12
  6. Step 6: Final answer
    x = 594.15

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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.