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Finding the Fourth Proportional to 1,226.62, 1,838.47 and 496.10

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Solution

The fourth proportional to 1,226.62, 1,838.47 and 496.10 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.62 : 1,838.47 = 496.10 : x
  2. Step 2: Convert to fraction form
    1,226.62/1,838.47 = 496.10/x
  3. Step 3: Cross multiply
    1,226.62x = 1,838.47 × 496.10
  4. Step 4: Simplify right side
    1,226.62x = 912,064.97
  5. Step 5: Solve for x
    x = 912,064.97/1,226.62
  6. Step 6: Final answer
    x = 743.56

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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.