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Finding the Fourth Proportional to 801.23, 1,201.10 and 314.28

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Solution

The fourth proportional to 801.23, 1,201.10 and 314.28 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.23 : 1,201.10 = 314.28 : x
  2. Step 2: Convert to fraction form
    801.23/1,201.10 = 314.28/x
  3. Step 3: Cross multiply
    801.23x = 1,201.10 × 314.28
  4. Step 4: Simplify right side
    801.23x = 377,480.14
  5. Step 5: Solve for x
    x = 377,480.14/801.23
  6. Step 6: Final answer
    x = 471.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.