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Finding the Fourth Proportional to 883.58, 1,219.34 and 552.19

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Solution

The fourth proportional to 883.58, 1,219.34 and 552.19 is: 762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.58 : 1,219.34 = 552.19 : x
  2. Step 2: Convert to fraction form
    883.58/1,219.34 = 552.19/x
  3. Step 3: Cross multiply
    883.58x = 1,219.34 × 552.19
  4. Step 4: Simplify right side
    883.58x = 673,304.87
  5. Step 5: Solve for x
    x = 673,304.87/883.58
  6. Step 6: Final answer
    x = 762.02

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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.