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Finding the Fourth Proportional to 867.01, 1,195.23 and 535.27

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Solution

The fourth proportional to 867.01, 1,195.23 and 535.27 is: 737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.01 : 1,195.23 = 535.27 : x
  2. Step 2: Convert to fraction form
    867.01/1,195.23 = 535.27/x
  3. Step 3: Cross multiply
    867.01x = 1,195.23 × 535.27
  4. Step 4: Simplify right side
    867.01x = 639,770.76
  5. Step 5: Solve for x
    x = 639,770.76/867.01
  6. Step 6: Final answer
    x = 737.90

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