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Finding the Fourth Proportional to 801.64, 1,202.64 and 314.65

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Solution

The fourth proportional to 801.64, 1,202.64 and 314.65 is: 472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.64 : 1,202.64 = 314.65 : x
  2. Step 2: Convert to fraction form
    801.64/1,202.64 = 314.65/x
  3. Step 3: Cross multiply
    801.64x = 1,202.64 × 314.65
  4. Step 4: Simplify right side
    801.64x = 378,410.68
  5. Step 5: Solve for x
    x = 378,410.68/801.64
  6. Step 6: Final answer
    x = 472.05

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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.