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Finding the Fourth Proportional to 1,049.45, 1,448.22 and 583.70

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Solution

The fourth proportional to 1,049.45, 1,448.22 and 583.70 is: 805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.45 : 1,448.22 = 583.70 : x
  2. Step 2: Convert to fraction form
    1,049.45/1,448.22 = 583.70/x
  3. Step 3: Cross multiply
    1,049.45x = 1,448.22 × 583.70
  4. Step 4: Simplify right side
    1,049.45x = 845,318.77
  5. Step 5: Solve for x
    x = 845,318.77/1,049.45
  6. Step 6: Final answer
    x = 805.49

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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.