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Finding the Fourth Proportional to 1,362.54, 2,044.23 and 496.98

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Solution

The fourth proportional to 1,362.54, 2,044.23 and 496.98 is: 745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.54 : 2,044.23 = 496.98 : x
  2. Step 2: Convert to fraction form
    1,362.54/2,044.23 = 496.98/x
  3. Step 3: Cross multiply
    1,362.54x = 2,044.23 × 496.98
  4. Step 4: Simplify right side
    1,362.54x = 1,015,941.43
  5. Step 5: Solve for x
    x = 1,015,941.43/1,362.54
  6. Step 6: Final answer
    x = 745.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.