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Finding the Fourth Proportional to 1,049.74, 1,448.48 and 601.54

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Solution

The fourth proportional to 1,049.74, 1,448.48 and 601.54 is: 830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.74 : 1,448.48 = 601.54 : x
  2. Step 2: Convert to fraction form
    1,049.74/1,448.48 = 601.54/x
  3. Step 3: Cross multiply
    1,049.74x = 1,448.48 × 601.54
  4. Step 4: Simplify right side
    1,049.74x = 871,318.66
  5. Step 5: Solve for x
    x = 871,318.66/1,049.74
  6. Step 6: Final answer
    x = 830.03

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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.