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Finding the Fourth Proportional to 1,499.46, 2,247.17 and 767.49

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Solution

The fourth proportional to 1,499.46, 2,247.17 and 767.49 is: 1,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.46 : 2,247.17 = 767.49 : x
  2. Step 2: Convert to fraction form
    1,499.46/2,247.17 = 767.49/x
  3. Step 3: Cross multiply
    1,499.46x = 2,247.17 × 767.49
  4. Step 4: Simplify right side
    1,499.46x = 1,724,676.67
  5. Step 5: Solve for x
    x = 1,724,676.67/1,499.46
  6. Step 6: Final answer
    x = 1,150.20

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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.