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Finding the Fourth Proportional to 878.47, 1,212.30 and 583.21

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Solution

The fourth proportional to 878.47, 1,212.30 and 583.21 is: 804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.47 : 1,212.30 = 583.21 : x
  2. Step 2: Convert to fraction form
    878.47/1,212.30 = 583.21/x
  3. Step 3: Cross multiply
    878.47x = 1,212.30 × 583.21
  4. Step 4: Simplify right side
    878.47x = 707,016.51
  5. Step 5: Solve for x
    x = 707,016.51/878.47
  6. Step 6: Final answer
    x = 804.83

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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.