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Finding the Fourth Proportional to 883.38, 1,325.16 and 518.22

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Solution

The fourth proportional to 883.38, 1,325.16 and 518.22 is: 777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.38 : 1,325.16 = 518.22 : x
  2. Step 2: Convert to fraction form
    883.38/1,325.16 = 518.22/x
  3. Step 3: Cross multiply
    883.38x = 1,325.16 × 518.22
  4. Step 4: Simplify right side
    883.38x = 686,724.42
  5. Step 5: Solve for x
    x = 686,724.42/883.38
  6. Step 6: Final answer
    x = 777.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.