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Finding the Fourth Proportional to 782.87, 1,174.30 and 262.88

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Solution

The fourth proportional to 782.87, 1,174.30 and 262.88 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.87 : 1,174.30 = 262.88 : x
  2. Step 2: Convert to fraction form
    782.87/1,174.30 = 262.88/x
  3. Step 3: Cross multiply
    782.87x = 1,174.30 × 262.88
  4. Step 4: Simplify right side
    782.87x = 308,697.86
  5. Step 5: Solve for x
    x = 308,697.86/782.87
  6. Step 6: Final answer
    x = 394.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.