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Finding the Fourth Proportional to 1,394.28, 2,090.61 and 469.53

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Solution

The fourth proportional to 1,394.28, 2,090.61 and 469.53 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.28 : 2,090.61 = 469.53 : x
  2. Step 2: Convert to fraction form
    1,394.28/2,090.61 = 469.53/x
  3. Step 3: Cross multiply
    1,394.28x = 2,090.61 × 469.53
  4. Step 4: Simplify right side
    1,394.28x = 981,604.11
  5. Step 5: Solve for x
    x = 981,604.11/1,394.28
  6. Step 6: Final answer
    x = 704.02

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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.