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Finding the Fourth Proportional to 816.92, 1,225.68 and 378.38

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Solution

The fourth proportional to 816.92, 1,225.68 and 378.38 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.92 : 1,225.68 = 378.38 : x
  2. Step 2: Convert to fraction form
    816.92/1,225.68 = 378.38/x
  3. Step 3: Cross multiply
    816.92x = 1,225.68 × 378.38
  4. Step 4: Simplify right side
    816.92x = 463,764.78
  5. Step 5: Solve for x
    x = 463,764.78/816.92
  6. Step 6: Final answer
    x = 567.70

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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.