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Finding the Fourth Proportional to 878.85, 1,212.76 and 485.85

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Solution

The fourth proportional to 878.85, 1,212.76 and 485.85 is: 670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.85 : 1,212.76 = 485.85 : x
  2. Step 2: Convert to fraction form
    878.85/1,212.76 = 485.85/x
  3. Step 3: Cross multiply
    878.85x = 1,212.76 × 485.85
  4. Step 4: Simplify right side
    878.85x = 589,210.95
  5. Step 5: Solve for x
    x = 589,210.95/878.85
  6. Step 6: Final answer
    x = 670.43

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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.