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Finding the Fourth Proportional to 867.50, 1,197.12 and 474.50

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Solution

The fourth proportional to 867.50, 1,197.12 and 474.50 is: 654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.50 : 1,197.12 = 474.50 : x
  2. Step 2: Convert to fraction form
    867.50/1,197.12 = 474.50/x
  3. Step 3: Cross multiply
    867.50x = 1,197.12 × 474.50
  4. Step 4: Simplify right side
    867.50x = 568,033.44
  5. Step 5: Solve for x
    x = 568,033.44/867.50
  6. Step 6: Final answer
    x = 654.79

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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.