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Finding the Fourth Proportional to 619.53, 853.87 and 567.21

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Solution

The fourth proportional to 619.53, 853.87 and 567.21 is: 781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.53 : 853.87 = 567.21 : x
  2. Step 2: Convert to fraction form
    619.53/853.87 = 567.21/x
  3. Step 3: Cross multiply
    619.53x = 853.87 × 567.21
  4. Step 4: Simplify right side
    619.53x = 484,323.60
  5. Step 5: Solve for x
    x = 484,323.60/619.53
  6. Step 6: Final answer
    x = 781.76

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