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Finding the Fourth Proportional to 978.73, 1,468.92 and 394.12

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Solution

The fourth proportional to 978.73, 1,468.92 and 394.12 is: 591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.73 : 1,468.92 = 394.12 : x
  2. Step 2: Convert to fraction form
    978.73/1,468.92 = 394.12/x
  3. Step 3: Cross multiply
    978.73x = 1,468.92 × 394.12
  4. Step 4: Simplify right side
    978.73x = 578,930.75
  5. Step 5: Solve for x
    x = 578,930.75/978.73
  6. Step 6: Final answer
    x = 591.51

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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.