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Finding the Fourth Proportional to 1,394.30, 2,091.31 and 469.82

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Solution

The fourth proportional to 1,394.30, 2,091.31 and 469.82 is: 704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.30 : 2,091.31 = 469.82 : x
  2. Step 2: Convert to fraction form
    1,394.30/2,091.31 = 469.82/x
  3. Step 3: Cross multiply
    1,394.30x = 2,091.31 × 469.82
  4. Step 4: Simplify right side
    1,394.30x = 982,539.26
  5. Step 5: Solve for x
    x = 982,539.26/1,394.30
  6. Step 6: Final answer
    x = 704.68

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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.