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Finding the Fourth Proportional to 867.05, 1,195.29 and 535.26

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Solution

The fourth proportional to 867.05, 1,195.29 and 535.26 is: 737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.05 : 1,195.29 = 535.26 : x
  2. Step 2: Convert to fraction form
    867.05/1,195.29 = 535.26/x
  3. Step 3: Cross multiply
    867.05x = 1,195.29 × 535.26
  4. Step 4: Simplify right side
    867.05x = 639,790.93
  5. Step 5: Solve for x
    x = 639,790.93/867.05
  6. Step 6: Final answer
    x = 737.89

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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.