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Finding the Fourth Proportional to 987.95, 1,481.41 and 294.52

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Solution

The fourth proportional to 987.95, 1,481.41 and 294.52 is: 441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.95 : 1,481.41 = 294.52 : x
  2. Step 2: Convert to fraction form
    987.95/1,481.41 = 294.52/x
  3. Step 3: Cross multiply
    987.95x = 1,481.41 × 294.52
  4. Step 4: Simplify right side
    987.95x = 436,304.87
  5. Step 5: Solve for x
    x = 436,304.87/987.95
  6. Step 6: Final answer
    x = 441.63

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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.