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Finding the Fourth Proportional to 768.87, 1,153.17 and 300.15

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Solution

The fourth proportional to 768.87, 1,153.17 and 300.15 is: 450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.87 : 1,153.17 = 300.15 : x
  2. Step 2: Convert to fraction form
    768.87/1,153.17 = 300.15/x
  3. Step 3: Cross multiply
    768.87x = 1,153.17 × 300.15
  4. Step 4: Simplify right side
    768.87x = 346,123.98
  5. Step 5: Solve for x
    x = 346,123.98/768.87
  6. Step 6: Final answer
    x = 450.17

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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.