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Finding the Fourth Proportional to 883.05, 1,324.19 and 362.69

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Solution

The fourth proportional to 883.05, 1,324.19 and 362.69 is: 543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.05 : 1,324.19 = 362.69 : x
  2. Step 2: Convert to fraction form
    883.05/1,324.19 = 362.69/x
  3. Step 3: Cross multiply
    883.05x = 1,324.19 × 362.69
  4. Step 4: Simplify right side
    883.05x = 480,262.04
  5. Step 5: Solve for x
    x = 480,262.04/883.05
  6. Step 6: Final answer
    x = 543.87

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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.