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Finding the Fourth Proportional to 883.31, 1,217.70 and 634.19

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Solution

The fourth proportional to 883.31, 1,217.70 and 634.19 is: 874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.31 : 1,217.70 = 634.19 : x
  2. Step 2: Convert to fraction form
    883.31/1,217.70 = 634.19/x
  3. Step 3: Cross multiply
    883.31x = 1,217.70 × 634.19
  4. Step 4: Simplify right side
    883.31x = 772,247.07
  5. Step 5: Solve for x
    x = 772,247.07/883.31
  6. Step 6: Final answer
    x = 874.27

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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.