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Finding the Fourth Proportional to 883.68, 1,216.52 and 662.25

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Solution

The fourth proportional to 883.68, 1,216.52 and 662.25 is: 911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.68 : 1,216.52 = 662.25 : x
  2. Step 2: Convert to fraction form
    883.68/1,216.52 = 662.25/x
  3. Step 3: Cross multiply
    883.68x = 1,216.52 × 662.25
  4. Step 4: Simplify right side
    883.68x = 805,640.68
  5. Step 5: Solve for x
    x = 805,640.68/883.68
  6. Step 6: Final answer
    x = 911.68

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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.