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Finding the Fourth Proportional to 883.52, 1,324.16 and 640.16

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Solution

The fourth proportional to 883.52, 1,324.16 and 640.16 is: 959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.52 : 1,324.16 = 640.16 : x
  2. Step 2: Convert to fraction form
    883.52/1,324.16 = 640.16/x
  3. Step 3: Cross multiply
    883.52x = 1,324.16 × 640.16
  4. Step 4: Simplify right side
    883.52x = 847,674.27
  5. Step 5: Solve for x
    x = 847,674.27/883.52
  6. Step 6: Final answer
    x = 959.43

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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.