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Finding the Fourth Proportional to 852.04, 1,278.60 and 821.80

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Solution

The fourth proportional to 852.04, 1,278.60 and 821.80 is: 1,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.04 : 1,278.60 = 821.80 : x
  2. Step 2: Convert to fraction form
    852.04/1,278.60 = 821.80/x
  3. Step 3: Cross multiply
    852.04x = 1,278.60 × 821.80
  4. Step 4: Simplify right side
    852.04x = 1,050,753.48
  5. Step 5: Solve for x
    x = 1,050,753.48/852.04
  6. Step 6: Final answer
    x = 1,233.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.