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Finding the Fourth Proportional to 801.26, 1,201.64 and 339.02

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Solution

The fourth proportional to 801.26, 1,201.64 and 339.02 is: 508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.26 : 1,201.64 = 339.02 : x
  2. Step 2: Convert to fraction form
    801.26/1,201.64 = 339.02/x
  3. Step 3: Cross multiply
    801.26x = 1,201.64 × 339.02
  4. Step 4: Simplify right side
    801.26x = 407,376.80
  5. Step 5: Solve for x
    x = 407,376.80/801.26
  6. Step 6: Final answer
    x = 508.42

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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.