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Finding the Fourth Proportional to 854.77, 1,178.33 and 736.23

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Solution

The fourth proportional to 854.77, 1,178.33 and 736.23 is: 1,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.77 : 1,178.33 = 736.23 : x
  2. Step 2: Convert to fraction form
    854.77/1,178.33 = 736.23/x
  3. Step 3: Cross multiply
    854.77x = 1,178.33 × 736.23
  4. Step 4: Simplify right side
    854.77x = 867,521.90
  5. Step 5: Solve for x
    x = 867,521.90/854.77
  6. Step 6: Final answer
    x = 1,014.92

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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.