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Finding the Fourth Proportional to 1,362.68, 2,044.26 and 498.20

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Solution

The fourth proportional to 1,362.68, 2,044.26 and 498.20 is: 747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.68 : 2,044.26 = 498.20 : x
  2. Step 2: Convert to fraction form
    1,362.68/2,044.26 = 498.20/x
  3. Step 3: Cross multiply
    1,362.68x = 2,044.26 × 498.20
  4. Step 4: Simplify right side
    1,362.68x = 1,018,450.33
  5. Step 5: Solve for x
    x = 1,018,450.33/1,362.68
  6. Step 6: Final answer
    x = 747.39

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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.