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Finding the Fourth Proportional to 981.94, 1,471.74 and 461.26

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Solution

The fourth proportional to 981.94, 1,471.74 and 461.26 is: 691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.94 : 1,471.74 = 461.26 : x
  2. Step 2: Convert to fraction form
    981.94/1,471.74 = 461.26/x
  3. Step 3: Cross multiply
    981.94x = 1,471.74 × 461.26
  4. Step 4: Simplify right side
    981.94x = 678,854.79
  5. Step 5: Solve for x
    x = 678,854.79/981.94
  6. Step 6: Final answer
    x = 691.34

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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.