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Finding the Fourth Proportional to 981.14, 1,471.94 and 433.48

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Solution

The fourth proportional to 981.14, 1,471.94 and 433.48 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.14 : 1,471.94 = 433.48 : x
  2. Step 2: Convert to fraction form
    981.14/1,471.94 = 433.48/x
  3. Step 3: Cross multiply
    981.14x = 1,471.94 × 433.48
  4. Step 4: Simplify right side
    981.14x = 638,056.55
  5. Step 5: Solve for x
    x = 638,056.55/981.14
  6. Step 6: Final answer
    x = 650.32

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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.