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Finding the Fourth Proportional to 1,218.89, 1,828.06 and 488.27

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Solution

The fourth proportional to 1,218.89, 1,828.06 and 488.27 is: 732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.89 : 1,828.06 = 488.27 : x
  2. Step 2: Convert to fraction form
    1,218.89/1,828.06 = 488.27/x
  3. Step 3: Cross multiply
    1,218.89x = 1,828.06 × 488.27
  4. Step 4: Simplify right side
    1,218.89x = 892,586.86
  5. Step 5: Solve for x
    x = 892,586.86/1,218.89
  6. Step 6: Final answer
    x = 732.29

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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.