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Finding the Fourth Proportional to 1,394.22, 2,090.08 and 529.14

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Solution

The fourth proportional to 1,394.22, 2,090.08 and 529.14 is: 793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.22 : 2,090.08 = 529.14 : x
  2. Step 2: Convert to fraction form
    1,394.22/2,090.08 = 529.14/x
  3. Step 3: Cross multiply
    1,394.22x = 2,090.08 × 529.14
  4. Step 4: Simplify right side
    1,394.22x = 1,105,944.93
  5. Step 5: Solve for x
    x = 1,105,944.93/1,394.22
  6. Step 6: Final answer
    x = 793.24

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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.