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Finding the Fourth Proportional to 1,226.07, 1,838.12 and 496.17

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Solution

The fourth proportional to 1,226.07, 1,838.12 and 496.17 is: 743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.07 : 1,838.12 = 496.17 : x
  2. Step 2: Convert to fraction form
    1,226.07/1,838.12 = 496.17/x
  3. Step 3: Cross multiply
    1,226.07x = 1,838.12 × 496.17
  4. Step 4: Simplify right side
    1,226.07x = 912,017.52
  5. Step 5: Solve for x
    x = 912,017.52/1,226.07
  6. Step 6: Final answer
    x = 743.85

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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.