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Finding the Fourth Proportional to 988.05, 1,481.08 and 338.34

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Solution

The fourth proportional to 988.05, 1,481.08 and 338.34 is: 507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.05 : 1,481.08 = 338.34 : x
  2. Step 2: Convert to fraction form
    988.05/1,481.08 = 338.34/x
  3. Step 3: Cross multiply
    988.05x = 1,481.08 × 338.34
  4. Step 4: Simplify right side
    988.05x = 501,108.61
  5. Step 5: Solve for x
    x = 501,108.61/988.05
  6. Step 6: Final answer
    x = 507.17

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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.