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Finding the Fourth Proportional to 853.76, 1,278.96 and 800.48

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Solution

The fourth proportional to 853.76, 1,278.96 and 800.48 is: 1,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,278.96 = 800.48 : x
  2. Step 2: Convert to fraction form
    853.76/1,278.96 = 800.48/x
  3. Step 3: Cross multiply
    853.76x = 1,278.96 × 800.48
  4. Step 4: Simplify right side
    853.76x = 1,023,781.90
  5. Step 5: Solve for x
    x = 1,023,781.90/853.76
  6. Step 6: Final answer
    x = 1,199.14

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Why These Related Problems?

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