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Finding the Fourth Proportional to 1,497.96, 2,247.69 and 767.43

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Solution

The fourth proportional to 1,497.96, 2,247.69 and 767.43 is: 1,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.96 : 2,247.69 = 767.43 : x
  2. Step 2: Convert to fraction form
    1,497.96/2,247.69 = 767.43/x
  3. Step 3: Cross multiply
    1,497.96x = 2,247.69 × 767.43
  4. Step 4: Simplify right side
    1,497.96x = 1,724,944.74
  5. Step 5: Solve for x
    x = 1,724,944.74/1,497.96
  6. Step 6: Final answer
    x = 1,151.53

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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.