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Finding the Fourth Proportional to 709.78, 1,064.60 and 247.56

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Solution

The fourth proportional to 709.78, 1,064.60 and 247.56 is: 371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 1,064.60 = 247.56 : x
  2. Step 2: Convert to fraction form
    709.78/1,064.60 = 247.56/x
  3. Step 3: Cross multiply
    709.78x = 1,064.60 × 247.56
  4. Step 4: Simplify right side
    709.78x = 263,552.38
  5. Step 5: Solve for x
    x = 263,552.38/709.78
  6. Step 6: Final answer
    x = 371.32

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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.