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Finding the Fourth Proportional to 1,218.18, 1,826.74 and 385.04

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Solution

The fourth proportional to 1,218.18, 1,826.74 and 385.04 is: 577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.18 : 1,826.74 = 385.04 : x
  2. Step 2: Convert to fraction form
    1,218.18/1,826.74 = 385.04/x
  3. Step 3: Cross multiply
    1,218.18x = 1,826.74 × 385.04
  4. Step 4: Simplify right side
    1,218.18x = 703,373.02
  5. Step 5: Solve for x
    x = 703,373.02/1,218.18
  6. Step 6: Final answer
    x = 577.39

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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.