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Finding the Fourth Proportional to 867.04, 1,196.42 and 535.44

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Solution

The fourth proportional to 867.04, 1,196.42 and 535.44 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.04 : 1,196.42 = 535.44 : x
  2. Step 2: Convert to fraction form
    867.04/1,196.42 = 535.44/x
  3. Step 3: Cross multiply
    867.04x = 1,196.42 × 535.44
  4. Step 4: Simplify right side
    867.04x = 640,611.12
  5. Step 5: Solve for x
    x = 640,611.12/867.04
  6. Step 6: Final answer
    x = 738.85

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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.