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Finding the Fourth Proportional to 978.15, 1,467.23 and 247.78

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Solution

The fourth proportional to 978.15, 1,467.23 and 247.78 is: 371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.15 : 1,467.23 = 247.78 : x
  2. Step 2: Convert to fraction form
    978.15/1,467.23 = 247.78/x
  3. Step 3: Cross multiply
    978.15x = 1,467.23 × 247.78
  4. Step 4: Simplify right side
    978.15x = 363,555.32
  5. Step 5: Solve for x
    x = 363,555.32/978.15
  6. Step 6: Final answer
    x = 371.68

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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.