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Finding the Fourth Proportional to 1,039.73, 1,560.29 and 629.66

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Solution

The fourth proportional to 1,039.73, 1,560.29 and 629.66 is: 944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.73 : 1,560.29 = 629.66 : x
  2. Step 2: Convert to fraction form
    1,039.73/1,560.29 = 629.66/x
  3. Step 3: Cross multiply
    1,039.73x = 1,560.29 × 629.66
  4. Step 4: Simplify right side
    1,039.73x = 982,441.25
  5. Step 5: Solve for x
    x = 982,441.25/1,039.73
  6. Step 6: Final answer
    x = 944.90

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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.