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Finding the Fourth Proportional to 696.94, 1,044.63 and 422.96

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Solution

The fourth proportional to 696.94, 1,044.63 and 422.96 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 1,044.63 = 422.96 : x
  2. Step 2: Convert to fraction form
    696.94/1,044.63 = 422.96/x
  3. Step 3: Cross multiply
    696.94x = 1,044.63 × 422.96
  4. Step 4: Simplify right side
    696.94x = 441,831.48
  5. Step 5: Solve for x
    x = 441,831.48/696.94
  6. Step 6: Final answer
    x = 633.96

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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.