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Finding the Fourth Proportional to 801.21, 1,202.49 and 314.60

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Solution

The fourth proportional to 801.21, 1,202.49 and 314.60 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.21 : 1,202.49 = 314.60 : x
  2. Step 2: Convert to fraction form
    801.21/1,202.49 = 314.60/x
  3. Step 3: Cross multiply
    801.21x = 1,202.49 × 314.60
  4. Step 4: Simplify right side
    801.21x = 378,303.35
  5. Step 5: Solve for x
    x = 378,303.35/801.21
  6. Step 6: Final answer
    x = 472.17

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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.