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Finding the Fourth Proportional to 833.41, 1,251.51 and 800.30

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Solution

The fourth proportional to 833.41, 1,251.51 and 800.30 is: 1,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.41 : 1,251.51 = 800.30 : x
  2. Step 2: Convert to fraction form
    833.41/1,251.51 = 800.30/x
  3. Step 3: Cross multiply
    833.41x = 1,251.51 × 800.30
  4. Step 4: Simplify right side
    833.41x = 1,001,583.45
  5. Step 5: Solve for x
    x = 1,001,583.45/833.41
  6. Step 6: Final answer
    x = 1,201.79

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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.