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Finding the Fourth Proportional to 978.92, 1,467.42 and 402.12

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Solution

The fourth proportional to 978.92, 1,467.42 and 402.12 is: 602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.92 : 1,467.42 = 402.12 : x
  2. Step 2: Convert to fraction form
    978.92/1,467.42 = 402.12/x
  3. Step 3: Cross multiply
    978.92x = 1,467.42 × 402.12
  4. Step 4: Simplify right side
    978.92x = 590,078.93
  5. Step 5: Solve for x
    x = 590,078.93/978.92
  6. Step 6: Final answer
    x = 602.79

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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.