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Finding the Fourth Proportional to 986.49, 1,480.01 and 293.13

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Solution

The fourth proportional to 986.49, 1,480.01 and 293.13 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.49 : 1,480.01 = 293.13 : x
  2. Step 2: Convert to fraction form
    986.49/1,480.01 = 293.13/x
  3. Step 3: Cross multiply
    986.49x = 1,480.01 × 293.13
  4. Step 4: Simplify right side
    986.49x = 433,833.87
  5. Step 5: Solve for x
    x = 433,833.87/986.49
  6. Step 6: Final answer
    x = 439.78

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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.