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Finding the Fourth Proportional to 854.55, 1,178.34 and 618.03

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Solution

The fourth proportional to 854.55, 1,178.34 and 618.03 is: 852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.55 : 1,178.34 = 618.03 : x
  2. Step 2: Convert to fraction form
    854.55/1,178.34 = 618.03/x
  3. Step 3: Cross multiply
    854.55x = 1,178.34 × 618.03
  4. Step 4: Simplify right side
    854.55x = 728,246.38
  5. Step 5: Solve for x
    x = 728,246.38/854.55
  6. Step 6: Final answer
    x = 852.20

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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.