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Finding the Fourth Proportional to 1,047.88, 1,446.09 and 599.84

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Solution

The fourth proportional to 1,047.88, 1,446.09 and 599.84 is: 827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.88 : 1,446.09 = 599.84 : x
  2. Step 2: Convert to fraction form
    1,047.88/1,446.09 = 599.84/x
  3. Step 3: Cross multiply
    1,047.88x = 1,446.09 × 599.84
  4. Step 4: Simplify right side
    1,047.88x = 867,426.24
  5. Step 5: Solve for x
    x = 867,426.24/1,047.88
  6. Step 6: Final answer
    x = 827.79

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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.