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Finding the Fourth Proportional to 883.74, 1,220.14 and 552.30

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Solution

The fourth proportional to 883.74, 1,220.14 and 552.30 is: 762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.74 : 1,220.14 = 552.30 : x
  2. Step 2: Convert to fraction form
    883.74/1,220.14 = 552.30/x
  3. Step 3: Cross multiply
    883.74x = 1,220.14 × 552.30
  4. Step 4: Simplify right side
    883.74x = 673,883.32
  5. Step 5: Solve for x
    x = 673,883.32/883.74
  6. Step 6: Final answer
    x = 762.54

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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.