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Finding the Fourth Proportional to 1,286.55, 1,775.31 and 726.93

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Solution

The fourth proportional to 1,286.55, 1,775.31 and 726.93 is: 1,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.55 : 1,775.31 = 726.93 : x
  2. Step 2: Convert to fraction form
    1,286.55/1,775.31 = 726.93/x
  3. Step 3: Cross multiply
    1,286.55x = 1,775.31 × 726.93
  4. Step 4: Simplify right side
    1,286.55x = 1,290,526.10
  5. Step 5: Solve for x
    x = 1,290,526.10/1,286.55
  6. Step 6: Final answer
    x = 1,003.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.