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Finding the Fourth Proportional to 878.48, 1,212.64 and 600.16

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Solution

The fourth proportional to 878.48, 1,212.64 and 600.16 is: 828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.48 : 1,212.64 = 600.16 : x
  2. Step 2: Convert to fraction form
    878.48/1,212.64 = 600.16/x
  3. Step 3: Cross multiply
    878.48x = 1,212.64 × 600.16
  4. Step 4: Simplify right side
    878.48x = 727,778.02
  5. Step 5: Solve for x
    x = 727,778.02/878.48
  6. Step 6: Final answer
    x = 828.45

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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.