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Finding the Fourth Proportional to 978.80, 1,467.82 and 458.70

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Solution

The fourth proportional to 978.80, 1,467.82 and 458.70 is: 687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.80 : 1,467.82 = 458.70 : x
  2. Step 2: Convert to fraction form
    978.80/1,467.82 = 458.70/x
  3. Step 3: Cross multiply
    978.80x = 1,467.82 × 458.70
  4. Step 4: Simplify right side
    978.80x = 673,289.03
  5. Step 5: Solve for x
    x = 673,289.03/978.80
  6. Step 6: Final answer
    x = 687.87

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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.