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Finding the Fourth Proportional to 698.86, 961.87 and 599.50

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Solution

The fourth proportional to 698.86, 961.87 and 599.50 is: 825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.86 : 961.87 = 599.50 : x
  2. Step 2: Convert to fraction form
    698.86/961.87 = 599.50/x
  3. Step 3: Cross multiply
    698.86x = 961.87 × 599.50
  4. Step 4: Simplify right side
    698.86x = 576,641.07
  5. Step 5: Solve for x
    x = 576,641.07/698.86
  6. Step 6: Final answer
    x = 825.12

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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.