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Finding the Fourth Proportional to 643.44, 964.81 and 506.06

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Solution

The fourth proportional to 643.44, 964.81 and 506.06 is: 758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.44 : 964.81 = 506.06 : x
  2. Step 2: Convert to fraction form
    643.44/964.81 = 506.06/x
  3. Step 3: Cross multiply
    643.44x = 964.81 × 506.06
  4. Step 4: Simplify right side
    643.44x = 488,256.60
  5. Step 5: Solve for x
    x = 488,256.60/643.44
  6. Step 6: Final answer
    x = 758.82

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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.