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Finding the Fourth Proportional to 1,282.77, 1,922.81 and 726.78

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Solution

The fourth proportional to 1,282.77, 1,922.81 and 726.78 is: 1,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.77 : 1,922.81 = 726.78 : x
  2. Step 2: Convert to fraction form
    1,282.77/1,922.81 = 726.78/x
  3. Step 3: Cross multiply
    1,282.77x = 1,922.81 × 726.78
  4. Step 4: Simplify right side
    1,282.77x = 1,397,462.84
  5. Step 5: Solve for x
    x = 1,397,462.84/1,282.77
  6. Step 6: Final answer
    x = 1,089.41

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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.