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Finding the Fourth Proportional to 987.71, 1,481.36 and 294.35

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Solution

The fourth proportional to 987.71, 1,481.36 and 294.35 is: 441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.71 : 1,481.36 = 294.35 : x
  2. Step 2: Convert to fraction form
    987.71/1,481.36 = 294.35/x
  3. Step 3: Cross multiply
    987.71x = 1,481.36 × 294.35
  4. Step 4: Simplify right side
    987.71x = 436,029.44
  5. Step 5: Solve for x
    x = 436,029.44/987.71
  6. Step 6: Final answer
    x = 441.46

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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.