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Finding the Fourth Proportional to 1,396.80, 2,094.66 and 574.92

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Solution

The fourth proportional to 1,396.80, 2,094.66 and 574.92 is: 862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.80 : 2,094.66 = 574.92 : x
  2. Step 2: Convert to fraction form
    1,396.80/2,094.66 = 574.92/x
  3. Step 3: Cross multiply
    1,396.80x = 2,094.66 × 574.92
  4. Step 4: Simplify right side
    1,396.80x = 1,204,261.93
  5. Step 5: Solve for x
    x = 1,204,261.93/1,396.80
  6. Step 6: Final answer
    x = 862.16

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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.