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Finding the Fourth Proportional to 853.76, 1,278.72 and 824.96

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Solution

The fourth proportional to 853.76, 1,278.72 and 824.96 is: 1,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,278.72 = 824.96 : x
  2. Step 2: Convert to fraction form
    853.76/1,278.72 = 824.96/x
  3. Step 3: Cross multiply
    853.76x = 1,278.72 × 824.96
  4. Step 4: Simplify right side
    853.76x = 1,054,892.85
  5. Step 5: Solve for x
    x = 1,054,892.85/853.76
  6. Step 6: Final answer
    x = 1,235.58

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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.