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Finding the Fourth Proportional to 1,049.56, 1,448.40 and 583.82

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Solution

The fourth proportional to 1,049.56, 1,448.40 and 583.82 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.56 : 1,448.40 = 583.82 : x
  2. Step 2: Convert to fraction form
    1,049.56/1,448.40 = 583.82/x
  3. Step 3: Cross multiply
    1,049.56x = 1,448.40 × 583.82
  4. Step 4: Simplify right side
    1,049.56x = 845,604.89
  5. Step 5: Solve for x
    x = 845,604.89/1,049.56
  6. Step 6: Final answer
    x = 805.68

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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.