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Finding the Fourth Proportional to 1,049.57, 1,448.35 and 629.83

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Solution

The fourth proportional to 1,049.57, 1,448.35 and 629.83 is: 869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.57 : 1,448.35 = 629.83 : x
  2. Step 2: Convert to fraction form
    1,049.57/1,448.35 = 629.83/x
  3. Step 3: Cross multiply
    1,049.57x = 1,448.35 × 629.83
  4. Step 4: Simplify right side
    1,049.57x = 912,214.28
  5. Step 5: Solve for x
    x = 912,214.28/1,049.57
  6. Step 6: Final answer
    x = 869.13

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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.