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Finding the Fourth Proportional to 769.52, 1,152.81 and 476.16

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Solution

The fourth proportional to 769.52, 1,152.81 and 476.16 is: 713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.52 : 1,152.81 = 476.16 : x
  2. Step 2: Convert to fraction form
    769.52/1,152.81 = 476.16/x
  3. Step 3: Cross multiply
    769.52x = 1,152.81 × 476.16
  4. Step 4: Simplify right side
    769.52x = 548,922.01
  5. Step 5: Solve for x
    x = 548,922.01/769.52
  6. Step 6: Final answer
    x = 713.34

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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.