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Finding the Fourth Proportional to 768.99, 1,153.20 and 306.63

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Solution

The fourth proportional to 768.99, 1,153.20 and 306.63 is: 459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.99 : 1,153.20 = 306.63 : x
  2. Step 2: Convert to fraction form
    768.99/1,153.20 = 306.63/x
  3. Step 3: Cross multiply
    768.99x = 1,153.20 × 306.63
  4. Step 4: Simplify right side
    768.99x = 353,605.72
  5. Step 5: Solve for x
    x = 353,605.72/768.99
  6. Step 6: Final answer
    x = 459.83

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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.