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Finding the Fourth Proportional to 1,498.23, 2,247.59 and 676.48

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Solution

The fourth proportional to 1,498.23, 2,247.59 and 676.48 is: 1,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.23 : 2,247.59 = 676.48 : x
  2. Step 2: Convert to fraction form
    1,498.23/2,247.59 = 676.48/x
  3. Step 3: Cross multiply
    1,498.23x = 2,247.59 × 676.48
  4. Step 4: Simplify right side
    1,498.23x = 1,520,446.30
  5. Step 5: Solve for x
    x = 1,520,446.30/1,498.23
  6. Step 6: Final answer
    x = 1,014.83

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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.