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Finding the Fourth Proportional to 1,396.79, 2,094.36 and 574.59

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Solution

The fourth proportional to 1,396.79, 2,094.36 and 574.59 is: 861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.79 : 2,094.36 = 574.59 : x
  2. Step 2: Convert to fraction form
    1,396.79/2,094.36 = 574.59/x
  3. Step 3: Cross multiply
    1,396.79x = 2,094.36 × 574.59
  4. Step 4: Simplify right side
    1,396.79x = 1,203,404.01
  5. Step 5: Solve for x
    x = 1,203,404.01/1,396.79
  6. Step 6: Final answer
    x = 861.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.