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Finding the Fourth Proportional to 768.36, 1,057.14 and 593.40

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Solution

The fourth proportional to 768.36, 1,057.14 and 593.40 is: 816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.36 : 1,057.14 = 593.40 : x
  2. Step 2: Convert to fraction form
    768.36/1,057.14 = 593.40/x
  3. Step 3: Cross multiply
    768.36x = 1,057.14 × 593.40
  4. Step 4: Simplify right side
    768.36x = 627,306.88
  5. Step 5: Solve for x
    x = 627,306.88/768.36
  6. Step 6: Final answer
    x = 816.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.