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Finding the Fourth Proportional to 697.86, 963.63 and 582.03

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Solution

The fourth proportional to 697.86, 963.63 and 582.03 is: 803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 963.63 = 582.03 : x
  2. Step 2: Convert to fraction form
    697.86/963.63 = 582.03/x
  3. Step 3: Cross multiply
    697.86x = 963.63 × 582.03
  4. Step 4: Simplify right side
    697.86x = 560,861.57
  5. Step 5: Solve for x
    x = 560,861.57/697.86
  6. Step 6: Final answer
    x = 803.69

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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.