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Finding the Fourth Proportional to 617.20, 925.80 and 508.72

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Solution

The fourth proportional to 617.20, 925.80 and 508.72 is: 763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 925.80 = 508.72 : x
  2. Step 2: Convert to fraction form
    617.20/925.80 = 508.72/x
  3. Step 3: Cross multiply
    617.20x = 925.80 × 508.72
  4. Step 4: Simplify right side
    617.20x = 470,972.98
  5. Step 5: Solve for x
    x = 470,972.98/617.20
  6. Step 6: Final answer
    x = 763.08

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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.