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Finding the Fourth Proportional to 1,049.40, 1,448.22 and 583.68

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Solution

The fourth proportional to 1,049.40, 1,448.22 and 583.68 is: 805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.40 : 1,448.22 = 583.68 : x
  2. Step 2: Convert to fraction form
    1,049.40/1,448.22 = 583.68/x
  3. Step 3: Cross multiply
    1,049.40x = 1,448.22 × 583.68
  4. Step 4: Simplify right side
    1,049.40x = 845,297.05
  5. Step 5: Solve for x
    x = 845,297.05/1,049.40
  6. Step 6: Final answer
    x = 805.51

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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.