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Finding the Fourth Proportional to 801.09, 1,201.64 and 314.24

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Solution

The fourth proportional to 801.09, 1,201.64 and 314.24 is: 471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.09 : 1,201.64 = 314.24 : x
  2. Step 2: Convert to fraction form
    801.09/1,201.64 = 314.24/x
  3. Step 3: Cross multiply
    801.09x = 1,201.64 × 314.24
  4. Step 4: Simplify right side
    801.09x = 377,595.77
  5. Step 5: Solve for x
    x = 377,595.77/801.09
  6. Step 6: Final answer
    x = 471.35

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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.