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Finding the Fourth Proportional to 883.13, 1,324.10 and 420.98

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Solution

The fourth proportional to 883.13, 1,324.10 and 420.98 is: 631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.13 : 1,324.10 = 420.98 : x
  2. Step 2: Convert to fraction form
    883.13/1,324.10 = 420.98/x
  3. Step 3: Cross multiply
    883.13x = 1,324.10 × 420.98
  4. Step 4: Simplify right side
    883.13x = 557,414.05
  5. Step 5: Solve for x
    x = 557,414.05/883.13
  6. Step 6: Final answer
    x = 631.18

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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.