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Finding the Fourth Proportional to 867.59, 1,197.27 and 474.61

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Solution

The fourth proportional to 867.59, 1,197.27 and 474.61 is: 654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.59 : 1,197.27 = 474.61 : x
  2. Step 2: Convert to fraction form
    867.59/1,197.27 = 474.61/x
  3. Step 3: Cross multiply
    867.59x = 1,197.27 × 474.61
  4. Step 4: Simplify right side
    867.59x = 568,240.95
  5. Step 5: Solve for x
    x = 568,240.95/867.59
  6. Step 6: Final answer
    x = 654.96

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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.