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Finding the Fourth Proportional to 851.78, 1,278.32 and 527.38

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Solution

The fourth proportional to 851.78, 1,278.32 and 527.38 is: 791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.78 : 1,278.32 = 527.38 : x
  2. Step 2: Convert to fraction form
    851.78/1,278.32 = 527.38/x
  3. Step 3: Cross multiply
    851.78x = 1,278.32 × 527.38
  4. Step 4: Simplify right side
    851.78x = 674,154.57
  5. Step 5: Solve for x
    x = 674,154.57/851.78
  6. Step 6: Final answer
    x = 791.46

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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.