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Finding the Fourth Proportional to 854.54, 1,180.14 and 736.28

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Solution

The fourth proportional to 854.54, 1,180.14 and 736.28 is: 1,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.54 : 1,180.14 = 736.28 : x
  2. Step 2: Convert to fraction form
    854.54/1,180.14 = 736.28/x
  3. Step 3: Cross multiply
    854.54x = 1,180.14 × 736.28
  4. Step 4: Simplify right side
    854.54x = 868,913.48
  5. Step 5: Solve for x
    x = 868,913.48/854.54
  6. Step 6: Final answer
    x = 1,016.82

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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.