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Finding the Fourth Proportional to 1,286.22, 1,775.01 and 726.72

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Solution

The fourth proportional to 1,286.22, 1,775.01 and 726.72 is: 1,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.22 : 1,775.01 = 726.72 : x
  2. Step 2: Convert to fraction form
    1,286.22/1,775.01 = 726.72/x
  3. Step 3: Cross multiply
    1,286.22x = 1,775.01 × 726.72
  4. Step 4: Simplify right side
    1,286.22x = 1,289,935.27
  5. Step 5: Solve for x
    x = 1,289,935.27/1,286.22
  6. Step 6: Final answer
    x = 1,002.89

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1.5x scale

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.