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Finding the Fourth Proportional to 1,049.34, 1,448.19 and 629.81

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Solution

The fourth proportional to 1,049.34, 1,448.19 and 629.81 is: 869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.34 : 1,448.19 = 629.81 : x
  2. Step 2: Convert to fraction form
    1,049.34/1,448.19 = 629.81/x
  3. Step 3: Cross multiply
    1,049.34x = 1,448.19 × 629.81
  4. Step 4: Simplify right side
    1,049.34x = 912,084.54
  5. Step 5: Solve for x
    x = 912,084.54/1,049.34
  6. Step 6: Final answer
    x = 869.20

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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.