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Finding the Fourth Proportional to 883.46, 1,324.74 and 652.88

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Solution

The fourth proportional to 883.46, 1,324.74 and 652.88 is: 978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.46 : 1,324.74 = 652.88 : x
  2. Step 2: Convert to fraction form
    883.46/1,324.74 = 652.88/x
  3. Step 3: Cross multiply
    883.46x = 1,324.74 × 652.88
  4. Step 4: Simplify right side
    883.46x = 864,896.25
  5. Step 5: Solve for x
    x = 864,896.25/883.46
  6. Step 6: Final answer
    x = 978.99

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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.