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Finding the Fourth Proportional to 873.36, 1,204.25 and 636.89

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Solution

The fourth proportional to 873.36, 1,204.25 and 636.89 is: 878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.36 : 1,204.25 = 636.89 : x
  2. Step 2: Convert to fraction form
    873.36/1,204.25 = 636.89/x
  3. Step 3: Cross multiply
    873.36x = 1,204.25 × 636.89
  4. Step 4: Simplify right side
    873.36x = 766,974.78
  5. Step 5: Solve for x
    x = 766,974.78/873.36
  6. Step 6: Final answer
    x = 878.19

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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.