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Finding the Fourth Proportional to 769.24, 1,153.86 and 307.05

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Solution

The fourth proportional to 769.24, 1,153.86 and 307.05 is: 460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.24 : 1,153.86 = 307.05 : x
  2. Step 2: Convert to fraction form
    769.24/1,153.86 = 307.05/x
  3. Step 3: Cross multiply
    769.24x = 1,153.86 × 307.05
  4. Step 4: Simplify right side
    769.24x = 354,293.73
  5. Step 5: Solve for x
    x = 354,293.73/769.24
  6. Step 6: Final answer
    x = 460.58

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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.