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Finding the Fourth Proportional to 1,363.06, 2,043.34 and 496.76

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Solution

The fourth proportional to 1,363.06, 2,043.34 and 496.76 is: 744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.06 : 2,043.34 = 496.76 : x
  2. Step 2: Convert to fraction form
    1,363.06/2,043.34 = 496.76/x
  3. Step 3: Cross multiply
    1,363.06x = 2,043.34 × 496.76
  4. Step 4: Simplify right side
    1,363.06x = 1,015,049.58
  5. Step 5: Solve for x
    x = 1,015,049.58/1,363.06
  6. Step 6: Final answer
    x = 744.68

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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.