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Finding the Fourth Proportional to 1,218.65, 1,827.30 and 487.40

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Solution

The fourth proportional to 1,218.65, 1,827.30 and 487.40 is: 730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.65 : 1,827.30 = 487.40 : x
  2. Step 2: Convert to fraction form
    1,218.65/1,827.30 = 487.40/x
  3. Step 3: Cross multiply
    1,218.65x = 1,827.30 × 487.40
  4. Step 4: Simplify right side
    1,218.65x = 890,626.02
  5. Step 5: Solve for x
    x = 890,626.02/1,218.65
  6. Step 6: Final answer
    x = 730.83

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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.