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Finding the Fourth Proportional to 769.24, 1,153.17 and 476.02

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Solution

The fourth proportional to 769.24, 1,153.17 and 476.02 is: 713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.24 : 1,153.17 = 476.02 : x
  2. Step 2: Convert to fraction form
    769.24/1,153.17 = 476.02/x
  3. Step 3: Cross multiply
    769.24x = 1,153.17 × 476.02
  4. Step 4: Simplify right side
    769.24x = 548,931.98
  5. Step 5: Solve for x
    x = 548,931.98/769.24
  6. Step 6: Final answer
    x = 713.60

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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.