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Finding the Fourth Proportional to 867.21, 1,196.97 and 535.91

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Solution

The fourth proportional to 867.21, 1,196.97 and 535.91 is: 739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.21 : 1,196.97 = 535.91 : x
  2. Step 2: Convert to fraction form
    867.21/1,196.97 = 535.91/x
  3. Step 3: Cross multiply
    867.21x = 1,196.97 × 535.91
  4. Step 4: Simplify right side
    867.21x = 641,462.21
  5. Step 5: Solve for x
    x = 641,462.21/867.21
  6. Step 6: Final answer
    x = 739.68

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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.