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Finding the Fourth Proportional to 1,047.88, 1,446.20 and 605.78

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Solution

The fourth proportional to 1,047.88, 1,446.20 and 605.78 is: 836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.88 : 1,446.20 = 605.78 : x
  2. Step 2: Convert to fraction form
    1,047.88/1,446.20 = 605.78/x
  3. Step 3: Cross multiply
    1,047.88x = 1,446.20 × 605.78
  4. Step 4: Simplify right side
    1,047.88x = 876,076.01
  5. Step 5: Solve for x
    x = 876,076.01/1,047.88
  6. Step 6: Final answer
    x = 836.05

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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.