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Finding the Fourth Proportional to 1,049.67, 1,448.60 and 583.92

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Solution

The fourth proportional to 1,049.67, 1,448.60 and 583.92 is: 805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.67 : 1,448.60 = 583.92 : x
  2. Step 2: Convert to fraction form
    1,049.67/1,448.60 = 583.92/x
  3. Step 3: Cross multiply
    1,049.67x = 1,448.60 × 583.92
  4. Step 4: Simplify right side
    1,049.67x = 845,863.59
  5. Step 5: Solve for x
    x = 845,863.59/1,049.67
  6. Step 6: Final answer
    x = 805.84

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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.