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Finding the Fourth Proportional to 619.98, 853.92 and 557.64

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Solution

The fourth proportional to 619.98, 853.92 and 557.64 is: 768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.98 : 853.92 = 557.64 : x
  2. Step 2: Convert to fraction form
    619.98/853.92 = 557.64/x
  3. Step 3: Cross multiply
    619.98x = 853.92 × 557.64
  4. Step 4: Simplify right side
    619.98x = 476,179.95
  5. Step 5: Solve for x
    x = 476,179.95/619.98
  6. Step 6: Final answer
    x = 768.06

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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.