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Finding the Fourth Proportional to 801.83, 1,203.39 and 315.23

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Solution

The fourth proportional to 801.83, 1,203.39 and 315.23 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.83 : 1,203.39 = 315.23 : x
  2. Step 2: Convert to fraction form
    801.83/1,203.39 = 315.23/x
  3. Step 3: Cross multiply
    801.83x = 1,203.39 × 315.23
  4. Step 4: Simplify right side
    801.83x = 379,338.61
  5. Step 5: Solve for x
    x = 379,338.61/801.83
  6. Step 6: Final answer
    x = 473.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.