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Finding the Fourth Proportional to 867.41, 1,197.02 and 474.44

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Solution

The fourth proportional to 867.41, 1,197.02 and 474.44 is: 654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.41 : 1,197.02 = 474.44 : x
  2. Step 2: Convert to fraction form
    867.41/1,197.02 = 474.44/x
  3. Step 3: Cross multiply
    867.41x = 1,197.02 × 474.44
  4. Step 4: Simplify right side
    867.41x = 567,914.17
  5. Step 5: Solve for x
    x = 567,914.17/867.41
  6. Step 6: Final answer
    x = 654.72

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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.