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Finding the Fourth Proportional to 1,047.93, 1,446.39 and 605.94

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Solution

The fourth proportional to 1,047.93, 1,446.39 and 605.94 is: 836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.93 : 1,446.39 = 605.94 : x
  2. Step 2: Convert to fraction form
    1,047.93/1,446.39 = 605.94/x
  3. Step 3: Cross multiply
    1,047.93x = 1,446.39 × 605.94
  4. Step 4: Simplify right side
    1,047.93x = 876,425.56
  5. Step 5: Solve for x
    x = 876,425.56/1,047.93
  6. Step 6: Final answer
    x = 836.34

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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.