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Finding the Fourth Proportional to 893.68, 1,337.82 and 811.42

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Solution

The fourth proportional to 893.68, 1,337.82 and 811.42 is: 1,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.68 : 1,337.82 = 811.42 : x
  2. Step 2: Convert to fraction form
    893.68/1,337.82 = 811.42/x
  3. Step 3: Cross multiply
    893.68x = 1,337.82 × 811.42
  4. Step 4: Simplify right side
    893.68x = 1,085,529.80
  5. Step 5: Solve for x
    x = 1,085,529.80/893.68
  6. Step 6: Final answer
    x = 1,214.67

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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.