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Finding the Fourth Proportional to 893.39, 1,338.54 and 698.31

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Solution

The fourth proportional to 893.39, 1,338.54 and 698.31 is: 1,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.39 : 1,338.54 = 698.31 : x
  2. Step 2: Convert to fraction form
    893.39/1,338.54 = 698.31/x
  3. Step 3: Cross multiply
    893.39x = 1,338.54 × 698.31
  4. Step 4: Simplify right side
    893.39x = 934,715.87
  5. Step 5: Solve for x
    x = 934,715.87/893.39
  6. Step 6: Final answer
    x = 1,046.26

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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.