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Finding the Fourth Proportional to 1,394.42, 2,090.75 and 845.78

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Solution

The fourth proportional to 1,394.42, 2,090.75 and 845.78 is: 1,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.42 : 2,090.75 = 845.78 : x
  2. Step 2: Convert to fraction form
    1,394.42/2,090.75 = 845.78/x
  3. Step 3: Cross multiply
    1,394.42x = 2,090.75 × 845.78
  4. Step 4: Simplify right side
    1,394.42x = 1,768,299.85
  5. Step 5: Solve for x
    x = 1,768,299.85/1,394.42
  6. Step 6: Final answer
    x = 1,268.13

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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.