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Finding the Fourth Proportional to 800.83, 1,201.53 and 314.21

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Solution

The fourth proportional to 800.83, 1,201.53 and 314.21 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.83 : 1,201.53 = 314.21 : x
  2. Step 2: Convert to fraction form
    800.83/1,201.53 = 314.21/x
  3. Step 3: Cross multiply
    800.83x = 1,201.53 × 314.21
  4. Step 4: Simplify right side
    800.83x = 377,532.74
  5. Step 5: Solve for x
    x = 377,532.74/800.83
  6. Step 6: Final answer
    x = 471.43

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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.