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Finding the Fourth Proportional to 854.72, 1,178.65 and 767.54

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Solution

The fourth proportional to 854.72, 1,178.65 and 767.54 is: 1,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.72 : 1,178.65 = 767.54 : x
  2. Step 2: Convert to fraction form
    854.72/1,178.65 = 767.54/x
  3. Step 3: Cross multiply
    854.72x = 1,178.65 × 767.54
  4. Step 4: Simplify right side
    854.72x = 904,664.93
  5. Step 5: Solve for x
    x = 904,664.93/854.72
  6. Step 6: Final answer
    x = 1,058.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.