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Finding the Fourth Proportional to 744.35, 1,114.30 and 726.67

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Solution

The fourth proportional to 744.35, 1,114.30 and 726.67 is: 1,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.35 : 1,114.30 = 726.67 : x
  2. Step 2: Convert to fraction form
    744.35/1,114.30 = 726.67/x
  3. Step 3: Cross multiply
    744.35x = 1,114.30 × 726.67
  4. Step 4: Simplify right side
    744.35x = 809,728.38
  5. Step 5: Solve for x
    x = 809,728.38/744.35
  6. Step 6: Final answer
    x = 1,087.83

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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.