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Finding the Fourth Proportional to 618.78, 854.04 and 523.44

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Solution

The fourth proportional to 618.78, 854.04 and 523.44 is: 722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 854.04 = 523.44 : x
  2. Step 2: Convert to fraction form
    618.78/854.04 = 523.44/x
  3. Step 3: Cross multiply
    618.78x = 854.04 × 523.44
  4. Step 4: Simplify right side
    618.78x = 447,038.70
  5. Step 5: Solve for x
    x = 447,038.70/618.78
  6. Step 6: Final answer
    x = 722.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.