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Finding the Fourth Proportional to 1,049.06, 1,447.54 and 600.85

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Solution

The fourth proportional to 1,049.06, 1,447.54 and 600.85 is: 829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.06 : 1,447.54 = 600.85 : x
  2. Step 2: Convert to fraction form
    1,049.06/1,447.54 = 600.85/x
  3. Step 3: Cross multiply
    1,049.06x = 1,447.54 × 600.85
  4. Step 4: Simplify right side
    1,049.06x = 869,754.41
  5. Step 5: Solve for x
    x = 869,754.41/1,049.06
  6. Step 6: Final answer
    x = 829.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.