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Finding the Fourth Proportional to 878.20, 1,211.10 and 546.50

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Solution

The fourth proportional to 878.20, 1,211.10 and 546.50 is: 753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.20 : 1,211.10 = 546.50 : x
  2. Step 2: Convert to fraction form
    878.20/1,211.10 = 546.50/x
  3. Step 3: Cross multiply
    878.20x = 1,211.10 × 546.50
  4. Step 4: Simplify right side
    878.20x = 661,866.15
  5. Step 5: Solve for x
    x = 661,866.15/878.20
  6. Step 6: Final answer
    x = 753.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.