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Finding the Fourth Proportional to 1,049.51, 1,448.17 and 629.77

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Solution

The fourth proportional to 1,049.51, 1,448.17 and 629.77 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.51 : 1,448.17 = 629.77 : x
  2. Step 2: Convert to fraction form
    1,049.51/1,448.17 = 629.77/x
  3. Step 3: Cross multiply
    1,049.51x = 1,448.17 × 629.77
  4. Step 4: Simplify right side
    1,049.51x = 912,010.87
  5. Step 5: Solve for x
    x = 912,010.87/1,049.51
  6. Step 6: Final answer
    x = 868.99

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