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Finding the Fourth Proportional to 1,286.23, 1,774.90 and 726.75

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Solution

The fourth proportional to 1,286.23, 1,774.90 and 726.75 is: 1,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.23 : 1,774.90 = 726.75 : x
  2. Step 2: Convert to fraction form
    1,286.23/1,774.90 = 726.75/x
  3. Step 3: Cross multiply
    1,286.23x = 1,774.90 × 726.75
  4. Step 4: Simplify right side
    1,286.23x = 1,289,905.40
  5. Step 5: Solve for x
    x = 1,289,905.40/1,286.23
  6. Step 6: Final answer
    x = 1,002.86

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Half scale
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Double scale
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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.