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Finding the Fourth Proportional to 978.49, 1,467.83 and 284.97

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Solution

The fourth proportional to 978.49, 1,467.83 and 284.97 is: 427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.49 : 1,467.83 = 284.97 : x
  2. Step 2: Convert to fraction form
    978.49/1,467.83 = 284.97/x
  3. Step 3: Cross multiply
    978.49x = 1,467.83 × 284.97
  4. Step 4: Simplify right side
    978.49x = 418,293.73
  5. Step 5: Solve for x
    x = 418,293.73/978.49
  6. Step 6: Final answer
    x = 427.49

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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.