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Finding the Fourth Proportional to 1,394.44, 2,090.59 and 469.44

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Solution

The fourth proportional to 1,394.44, 2,090.59 and 469.44 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.44 : 2,090.59 = 469.44 : x
  2. Step 2: Convert to fraction form
    1,394.44/2,090.59 = 469.44/x
  3. Step 3: Cross multiply
    1,394.44x = 2,090.59 × 469.44
  4. Step 4: Simplify right side
    1,394.44x = 981,406.57
  5. Step 5: Solve for x
    x = 981,406.57/1,394.44
  6. Step 6: Final answer
    x = 703.80

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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.