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Finding the Fourth Proportional to 820.14, 1,131.03 and 633.35

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Solution

The fourth proportional to 820.14, 1,131.03 and 633.35 is: 873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.14 : 1,131.03 = 633.35 : x
  2. Step 2: Convert to fraction form
    820.14/1,131.03 = 633.35/x
  3. Step 3: Cross multiply
    820.14x = 1,131.03 × 633.35
  4. Step 4: Simplify right side
    820.14x = 716,337.85
  5. Step 5: Solve for x
    x = 716,337.85/820.14
  6. Step 6: Final answer
    x = 873.43

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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.