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Finding the Fourth Proportional to 853.04, 1,278.83 and 804.75

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Solution

The fourth proportional to 853.04, 1,278.83 and 804.75 is: 1,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.04 : 1,278.83 = 804.75 : x
  2. Step 2: Convert to fraction form
    853.04/1,278.83 = 804.75/x
  3. Step 3: Cross multiply
    853.04x = 1,278.83 × 804.75
  4. Step 4: Simplify right side
    853.04x = 1,029,134.42
  5. Step 5: Solve for x
    x = 1,029,134.42/853.04
  6. Step 6: Final answer
    x = 1,206.44

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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.