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Finding the Fourth Proportional to 619.52, 855.04 and 517.12

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Solution

The fourth proportional to 619.52, 855.04 and 517.12 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.52 : 855.04 = 517.12 : x
  2. Step 2: Convert to fraction form
    619.52/855.04 = 517.12/x
  3. Step 3: Cross multiply
    619.52x = 855.04 × 517.12
  4. Step 4: Simplify right side
    619.52x = 442,158.28
  5. Step 5: Solve for x
    x = 442,158.28/619.52
  6. Step 6: Final answer
    x = 713.71

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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.