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Finding the Fourth Proportional to 564.75, 849.18 and 519.64

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Solution

The fourth proportional to 564.75, 849.18 and 519.64 is: 781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 849.18 = 519.64 : x
  2. Step 2: Convert to fraction form
    564.75/849.18 = 519.64/x
  3. Step 3: Cross multiply
    564.75x = 849.18 × 519.64
  4. Step 4: Simplify right side
    564.75x = 441,267.90
  5. Step 5: Solve for x
    x = 441,267.90/564.75
  6. Step 6: Final answer
    x = 781.35

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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.