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Finding the Fourth Proportional to 816.78, 1,224.63 and 296.68

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Solution

The fourth proportional to 816.78, 1,224.63 and 296.68 is: 444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.78 : 1,224.63 = 296.68 : x
  2. Step 2: Convert to fraction form
    816.78/1,224.63 = 296.68/x
  3. Step 3: Cross multiply
    816.78x = 1,224.63 × 296.68
  4. Step 4: Simplify right side
    816.78x = 363,323.23
  5. Step 5: Solve for x
    x = 363,323.23/816.78
  6. Step 6: Final answer
    x = 444.83

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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.