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Finding the Fourth Proportional to 867.97, 1,197.78 and 474.99

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Solution

The fourth proportional to 867.97, 1,197.78 and 474.99 is: 655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.97 : 1,197.78 = 474.99 : x
  2. Step 2: Convert to fraction form
    867.97/1,197.78 = 474.99/x
  3. Step 3: Cross multiply
    867.97x = 1,197.78 × 474.99
  4. Step 4: Simplify right side
    867.97x = 568,933.52
  5. Step 5: Solve for x
    x = 568,933.52/867.97
  6. Step 6: Final answer
    x = 655.48

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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.