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Finding the Fourth Proportional to 801.83, 1,203.43 and 315.22

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Solution

The fourth proportional to 801.83, 1,203.43 and 315.22 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.83 : 1,203.43 = 315.22 : x
  2. Step 2: Convert to fraction form
    801.83/1,203.43 = 315.22/x
  3. Step 3: Cross multiply
    801.83x = 1,203.43 × 315.22
  4. Step 4: Simplify right side
    801.83x = 379,343.63
  5. Step 5: Solve for x
    x = 379,343.63/801.83
  6. Step 6: Final answer
    x = 473.10

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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.