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Finding the Fourth Proportional to 769.91, 1,153.81 and 358.16

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Solution

The fourth proportional to 769.91, 1,153.81 and 358.16 is: 536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.91 : 1,153.81 = 358.16 : x
  2. Step 2: Convert to fraction form
    769.91/1,153.81 = 358.16/x
  3. Step 3: Cross multiply
    769.91x = 1,153.81 × 358.16
  4. Step 4: Simplify right side
    769.91x = 413,243.27
  5. Step 5: Solve for x
    x = 413,243.27/769.91
  6. Step 6: Final answer
    x = 536.75

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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.