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Finding the Fourth Proportional to 617.67, 849.78 and 511.56

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Solution

The fourth proportional to 617.67, 849.78 and 511.56 is: 703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 849.78 = 511.56 : x
  2. Step 2: Convert to fraction form
    617.67/849.78 = 511.56/x
  3. Step 3: Cross multiply
    617.67x = 849.78 × 511.56
  4. Step 4: Simplify right side
    617.67x = 434,713.46
  5. Step 5: Solve for x
    x = 434,713.46/617.67
  6. Step 6: Final answer
    x = 703.80

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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.