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Finding the Fourth Proportional to 981.25, 1,471.84 and 250.83

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Solution

The fourth proportional to 981.25, 1,471.84 and 250.83 is: 376.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.25 : 1,471.84 = 250.83 : x
  2. Step 2: Convert to fraction form
    981.25/1,471.84 = 250.83/x
  3. Step 3: Cross multiply
    981.25x = 1,471.84 × 250.83
  4. Step 4: Simplify right side
    981.25x = 369,181.00
  5. Step 5: Solve for x
    x = 369,181.00/981.25
  6. Step 6: Final answer
    x = 376.24

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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.