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Finding the Fourth Proportional to 649.64, 973.52 and 629.92

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Solution

The fourth proportional to 649.64, 973.52 and 629.92 is: 943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 973.52 = 629.92 : x
  2. Step 2: Convert to fraction form
    649.64/973.52 = 629.92/x
  3. Step 3: Cross multiply
    649.64x = 973.52 × 629.92
  4. Step 4: Simplify right side
    649.64x = 613,239.72
  5. Step 5: Solve for x
    x = 613,239.72/649.64
  6. Step 6: Final answer
    x = 943.97

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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.