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Finding the Fourth Proportional to 978.26, 1,467.38 and 458.10

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Solution

The fourth proportional to 978.26, 1,467.38 and 458.10 is: 687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.26 : 1,467.38 = 458.10 : x
  2. Step 2: Convert to fraction form
    978.26/1,467.38 = 458.10/x
  3. Step 3: Cross multiply
    978.26x = 1,467.38 × 458.10
  4. Step 4: Simplify right side
    978.26x = 672,207.92
  5. Step 5: Solve for x
    x = 672,207.92/978.26
  6. Step 6: Final answer
    x = 687.15

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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.