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Finding the Fourth Proportional to 988.04, 1,481.76 and 338.63

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Solution

The fourth proportional to 988.04, 1,481.76 and 338.63 is: 507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.04 : 1,481.76 = 338.63 : x
  2. Step 2: Convert to fraction form
    988.04/1,481.76 = 338.63/x
  3. Step 3: Cross multiply
    988.04x = 1,481.76 × 338.63
  4. Step 4: Simplify right side
    988.04x = 501,760.98
  5. Step 5: Solve for x
    x = 501,760.98/988.04
  6. Step 6: Final answer
    x = 507.83

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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.