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Finding the Fourth Proportional to 854.78, 1,177.87 and 618.31

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Solution

The fourth proportional to 854.78, 1,177.87 and 618.31 is: 852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.78 : 1,177.87 = 618.31 : x
  2. Step 2: Convert to fraction form
    854.78/1,177.87 = 618.31/x
  3. Step 3: Cross multiply
    854.78x = 1,177.87 × 618.31
  4. Step 4: Simplify right side
    854.78x = 728,284.83
  5. Step 5: Solve for x
    x = 728,284.83/854.78
  6. Step 6: Final answer
    x = 852.02

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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.