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Finding the Fourth Proportional to 981.58, 1,471.04 and 403.78

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Solution

The fourth proportional to 981.58, 1,471.04 and 403.78 is: 605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.58 : 1,471.04 = 403.78 : x
  2. Step 2: Convert to fraction form
    981.58/1,471.04 = 403.78/x
  3. Step 3: Cross multiply
    981.58x = 1,471.04 × 403.78
  4. Step 4: Simplify right side
    981.58x = 593,976.53
  5. Step 5: Solve for x
    x = 593,976.53/981.58
  6. Step 6: Final answer
    x = 605.12

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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.