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Finding the Fourth Proportional to 1,498.02, 2,247.30 and 676.68

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Solution

The fourth proportional to 1,498.02, 2,247.30 and 676.68 is: 1,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.02 : 2,247.30 = 676.68 : x
  2. Step 2: Convert to fraction form
    1,498.02/2,247.30 = 676.68/x
  3. Step 3: Cross multiply
    1,498.02x = 2,247.30 × 676.68
  4. Step 4: Simplify right side
    1,498.02x = 1,520,702.96
  5. Step 5: Solve for x
    x = 1,520,702.96/1,498.02
  6. Step 6: Final answer
    x = 1,015.14

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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.