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Finding the Fourth Proportional to 1,218.51, 1,827.42 and 396.60

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Solution

The fourth proportional to 1,218.51, 1,827.42 and 396.60 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.51 : 1,827.42 = 396.60 : x
  2. Step 2: Convert to fraction form
    1,218.51/1,827.42 = 396.60/x
  3. Step 3: Cross multiply
    1,218.51x = 1,827.42 × 396.60
  4. Step 4: Simplify right side
    1,218.51x = 724,754.77
  5. Step 5: Solve for x
    x = 724,754.77/1,218.51
  6. Step 6: Final answer
    x = 594.79

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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.