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Finding the Fourth Proportional to 981.96, 1,355.23 and 633.66

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Solution

The fourth proportional to 981.96, 1,355.23 and 633.66 is: 874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.96 : 1,355.23 = 633.66 : x
  2. Step 2: Convert to fraction form
    981.96/1,355.23 = 633.66/x
  3. Step 3: Cross multiply
    981.96x = 1,355.23 × 633.66
  4. Step 4: Simplify right side
    981.96x = 858,748.27
  5. Step 5: Solve for x
    x = 858,748.27/981.96
  6. Step 6: Final answer
    x = 874.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.