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Finding the Fourth Proportional to 643.52, 960.10 and 612.54

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Solution

The fourth proportional to 643.52, 960.10 and 612.54 is: 913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.52 : 960.10 = 612.54 : x
  2. Step 2: Convert to fraction form
    643.52/960.10 = 612.54/x
  3. Step 3: Cross multiply
    643.52x = 960.10 × 612.54
  4. Step 4: Simplify right side
    643.52x = 588,099.65
  5. Step 5: Solve for x
    x = 588,099.65/643.52
  6. Step 6: Final answer
    x = 913.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.