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Finding the Fourth Proportional to 849.56, 1,281.98 and 819.05

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Solution

The fourth proportional to 849.56, 1,281.98 and 819.05 is: 1,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.56 : 1,281.98 = 819.05 : x
  2. Step 2: Convert to fraction form
    849.56/1,281.98 = 819.05/x
  3. Step 3: Cross multiply
    849.56x = 1,281.98 × 819.05
  4. Step 4: Simplify right side
    849.56x = 1,050,001.36
  5. Step 5: Solve for x
    x = 1,050,001.36/849.56
  6. Step 6: Final answer
    x = 1,235.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.