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Finding the Fourth Proportional to 854.55, 1,177.34 and 736.29

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Solution

The fourth proportional to 854.55, 1,177.34 and 736.29 is: 1,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.55 : 1,177.34 = 736.29 : x
  2. Step 2: Convert to fraction form
    854.55/1,177.34 = 736.29/x
  3. Step 3: Cross multiply
    854.55x = 1,177.34 × 736.29
  4. Step 4: Simplify right side
    854.55x = 866,859.99
  5. Step 5: Solve for x
    x = 866,859.99/854.55
  6. Step 6: Final answer
    x = 1,014.41

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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.