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Finding the Fourth Proportional to 987.14, 1,481 and 293.83

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Solution

The fourth proportional to 987.14, 1,481 and 293.83 is: 440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.14 : 1,481 = 293.83 : x
  2. Step 2: Convert to fraction form
    987.14/1,481 = 293.83/x
  3. Step 3: Cross multiply
    987.14x = 1,481 × 293.83
  4. Step 4: Simplify right side
    987.14x = 435,162.23
  5. Step 5: Solve for x
    x = 435,162.23/987.14
  6. Step 6: Final answer
    x = 440.83

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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.