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Finding the Fourth Proportional to 1,049.68, 1,448.22 and 583.84

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Solution

The fourth proportional to 1,049.68, 1,448.22 and 583.84 is: 805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.68 : 1,448.22 = 583.84 : x
  2. Step 2: Convert to fraction form
    1,049.68/1,448.22 = 583.84/x
  3. Step 3: Cross multiply
    1,049.68x = 1,448.22 × 583.84
  4. Step 4: Simplify right side
    1,049.68x = 845,528.76
  5. Step 5: Solve for x
    x = 845,528.76/1,049.68
  6. Step 6: Final answer
    x = 805.51

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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.