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Finding the Fourth Proportional to 744.43, 1,026.34 and 640.63

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Solution

The fourth proportional to 744.43, 1,026.34 and 640.63 is: 883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.43 : 1,026.34 = 640.63 : x
  2. Step 2: Convert to fraction form
    744.43/1,026.34 = 640.63/x
  3. Step 3: Cross multiply
    744.43x = 1,026.34 × 640.63
  4. Step 4: Simplify right side
    744.43x = 657,500.99
  5. Step 5: Solve for x
    x = 657,500.99/744.43
  6. Step 6: Final answer
    x = 883.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.