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Finding the Fourth Proportional to 978.73, 1,467.29 and 458.47

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Solution

The fourth proportional to 978.73, 1,467.29 and 458.47 is: 687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.73 : 1,467.29 = 458.47 : x
  2. Step 2: Convert to fraction form
    978.73/1,467.29 = 458.47/x
  3. Step 3: Cross multiply
    978.73x = 1,467.29 × 458.47
  4. Step 4: Simplify right side
    978.73x = 672,708.45
  5. Step 5: Solve for x
    x = 672,708.45/978.73
  6. Step 6: Final answer
    x = 687.33

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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.