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Finding the Fourth Proportional to 1,333.35, 1,998.41 and 811.71

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Solution

The fourth proportional to 1,333.35, 1,998.41 and 811.71 is: 1,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.35 : 1,998.41 = 811.71 : x
  2. Step 2: Convert to fraction form
    1,333.35/1,998.41 = 811.71/x
  3. Step 3: Cross multiply
    1,333.35x = 1,998.41 × 811.71
  4. Step 4: Simplify right side
    1,333.35x = 1,622,125.32
  5. Step 5: Solve for x
    x = 1,622,125.32/1,333.35
  6. Step 6: Final answer
    x = 1,216.58

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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.