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Finding the Fourth Proportional to 878.53, 1,317.39 and 493.78

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Solution

The fourth proportional to 878.53, 1,317.39 and 493.78 is: 740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.53 : 1,317.39 = 493.78 : x
  2. Step 2: Convert to fraction form
    878.53/1,317.39 = 493.78/x
  3. Step 3: Cross multiply
    878.53x = 1,317.39 × 493.78
  4. Step 4: Simplify right side
    878.53x = 650,500.83
  5. Step 5: Solve for x
    x = 650,500.83/878.53
  6. Step 6: Final answer
    x = 740.44

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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.