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Finding the Fourth Proportional to 698.07, 963.60 and 599.43

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Solution

The fourth proportional to 698.07, 963.60 and 599.43 is: 827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 963.60 = 599.43 : x
  2. Step 2: Convert to fraction form
    698.07/963.60 = 599.43/x
  3. Step 3: Cross multiply
    698.07x = 963.60 × 599.43
  4. Step 4: Simplify right side
    698.07x = 577,610.75
  5. Step 5: Solve for x
    x = 577,610.75/698.07
  6. Step 6: Final answer
    x = 827.44

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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.