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Finding the Fourth Proportional to 801.40, 1,202.10 and 314.20

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Solution

The fourth proportional to 801.40, 1,202.10 and 314.20 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.40 : 1,202.10 = 314.20 : x
  2. Step 2: Convert to fraction form
    801.40/1,202.10 = 314.20/x
  3. Step 3: Cross multiply
    801.40x = 1,202.10 × 314.20
  4. Step 4: Simplify right side
    801.40x = 377,699.82
  5. Step 5: Solve for x
    x = 377,699.82/801.40
  6. Step 6: Final answer
    x = 471.30

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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.