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Finding the Fourth Proportional to 798.26, 1,196.40 and 408.02

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Solution

The fourth proportional to 798.26, 1,196.40 and 408.02 is: 611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.26 : 1,196.40 = 408.02 : x
  2. Step 2: Convert to fraction form
    798.26/1,196.40 = 408.02/x
  3. Step 3: Cross multiply
    798.26x = 1,196.40 × 408.02
  4. Step 4: Simplify right side
    798.26x = 488,155.13
  5. Step 5: Solve for x
    x = 488,155.13/798.26
  6. Step 6: Final answer
    x = 611.52

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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.