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Finding the Fourth Proportional to 981.99, 1,472.43 and 397.27

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Solution

The fourth proportional to 981.99, 1,472.43 and 397.27 is: 595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.99 : 1,472.43 = 397.27 : x
  2. Step 2: Convert to fraction form
    981.99/1,472.43 = 397.27/x
  3. Step 3: Cross multiply
    981.99x = 1,472.43 × 397.27
  4. Step 4: Simplify right side
    981.99x = 584,952.27
  5. Step 5: Solve for x
    x = 584,952.27/981.99
  6. Step 6: Final answer
    x = 595.68

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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.