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Finding the Fourth Proportional to 1,218.16, 1,827.36 and 396.22

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Solution

The fourth proportional to 1,218.16, 1,827.36 and 396.22 is: 594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.16 : 1,827.36 = 396.22 : x
  2. Step 2: Convert to fraction form
    1,218.16/1,827.36 = 396.22/x
  3. Step 3: Cross multiply
    1,218.16x = 1,827.36 × 396.22
  4. Step 4: Simplify right side
    1,218.16x = 724,030.30
  5. Step 5: Solve for x
    x = 724,030.30/1,218.16
  6. Step 6: Final answer
    x = 594.36

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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.