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Finding the Fourth Proportional to 738.60, 1,102.56 and 629.22

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Solution

The fourth proportional to 738.60, 1,102.56 and 629.22 is: 939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.60 : 1,102.56 = 629.22 : x
  2. Step 2: Convert to fraction form
    738.60/1,102.56 = 629.22/x
  3. Step 3: Cross multiply
    738.60x = 1,102.56 × 629.22
  4. Step 4: Simplify right side
    738.60x = 693,752.80
  5. Step 5: Solve for x
    x = 693,752.80/738.60
  6. Step 6: Final answer
    x = 939.28

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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.