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Finding the Fourth Proportional to 978.50, 1,467.76 and 458.35

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Solution

The fourth proportional to 978.50, 1,467.76 and 458.35 is: 687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.50 : 1,467.76 = 458.35 : x
  2. Step 2: Convert to fraction form
    978.50/1,467.76 = 458.35/x
  3. Step 3: Cross multiply
    978.50x = 1,467.76 × 458.35
  4. Step 4: Simplify right side
    978.50x = 672,747.80
  5. Step 5: Solve for x
    x = 672,747.80/978.50
  6. Step 6: Final answer
    x = 687.53

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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.