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Finding the Fourth Proportional to 854.98, 1,178.49 and 544.26

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Solution

The fourth proportional to 854.98, 1,178.49 and 544.26 is: 750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.98 : 1,178.49 = 544.26 : x
  2. Step 2: Convert to fraction form
    854.98/1,178.49 = 544.26/x
  3. Step 3: Cross multiply
    854.98x = 1,178.49 × 544.26
  4. Step 4: Simplify right side
    854.98x = 641,404.97
  5. Step 5: Solve for x
    x = 641,404.97/854.98
  6. Step 6: Final answer
    x = 750.20

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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.