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Finding the Fourth Proportional to 617.66, 925.72 and 540.44

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Solution

The fourth proportional to 617.66, 925.72 and 540.44 is: 809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.66 : 925.72 = 540.44 : x
  2. Step 2: Convert to fraction form
    617.66/925.72 = 540.44/x
  3. Step 3: Cross multiply
    617.66x = 925.72 × 540.44
  4. Step 4: Simplify right side
    617.66x = 500,296.12
  5. Step 5: Solve for x
    x = 500,296.12/617.66
  6. Step 6: Final answer
    x = 809.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.