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Finding the Fourth Proportional to 978.17, 1,467.05 and 284.75

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Solution

The fourth proportional to 978.17, 1,467.05 and 284.75 is: 427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.17 : 1,467.05 = 284.75 : x
  2. Step 2: Convert to fraction form
    978.17/1,467.05 = 284.75/x
  3. Step 3: Cross multiply
    978.17x = 1,467.05 × 284.75
  4. Step 4: Simplify right side
    978.17x = 417,733.73
  5. Step 5: Solve for x
    x = 417,733.73/978.17
  6. Step 6: Final answer
    x = 427.06

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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.