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Finding the Fourth Proportional to 801.83, 1,201.92 and 339.89

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Solution

The fourth proportional to 801.83, 1,201.92 and 339.89 is: 509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.83 : 1,201.92 = 339.89 : x
  2. Step 2: Convert to fraction form
    801.83/1,201.92 = 339.89/x
  3. Step 3: Cross multiply
    801.83x = 1,201.92 × 339.89
  4. Step 4: Simplify right side
    801.83x = 408,518.89
  5. Step 5: Solve for x
    x = 408,518.89/801.83
  6. Step 6: Final answer
    x = 509.48

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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.