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Finding the Fourth Proportional to 883.84, 1,324.82 and 421.25

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Solution

The fourth proportional to 883.84, 1,324.82 and 421.25 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.84 : 1,324.82 = 421.25 : x
  2. Step 2: Convert to fraction form
    883.84/1,324.82 = 421.25/x
  3. Step 3: Cross multiply
    883.84x = 1,324.82 × 421.25
  4. Step 4: Simplify right side
    883.84x = 558,078.32
  5. Step 5: Solve for x
    x = 558,078.32/883.84
  6. Step 6: Final answer
    x = 631.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.