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Finding the Fourth Proportional to 737.87, 1,106.82 and 494.87

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Solution

The fourth proportional to 737.87, 1,106.82 and 494.87 is: 742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.87 : 1,106.82 = 494.87 : x
  2. Step 2: Convert to fraction form
    737.87/1,106.82 = 494.87/x
  3. Step 3: Cross multiply
    737.87x = 1,106.82 × 494.87
  4. Step 4: Simplify right side
    737.87x = 547,732.01
  5. Step 5: Solve for x
    x = 547,732.01/737.87
  6. Step 6: Final answer
    x = 742.32

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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.