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Finding the Fourth Proportional to 878.72, 1,212.48 and 665.60

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Solution

The fourth proportional to 878.72, 1,212.48 and 665.60 is: 918.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.72 : 1,212.48 = 665.60 : x
  2. Step 2: Convert to fraction form
    878.72/1,212.48 = 665.60/x
  3. Step 3: Cross multiply
    878.72x = 1,212.48 × 665.60
  4. Step 4: Simplify right side
    878.72x = 807,026.69
  5. Step 5: Solve for x
    x = 807,026.69/878.72
  6. Step 6: Final answer
    x = 918.41

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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.