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Finding the Fourth Proportional to 1,047.97, 1,446.21 and 582.22

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Solution

The fourth proportional to 1,047.97, 1,446.21 and 582.22 is: 803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.97 : 1,446.21 = 582.22 : x
  2. Step 2: Convert to fraction form
    1,047.97/1,446.21 = 582.22/x
  3. Step 3: Cross multiply
    1,047.97x = 1,446.21 × 582.22
  4. Step 4: Simplify right side
    1,047.97x = 842,012.39
  5. Step 5: Solve for x
    x = 842,012.39/1,047.97
  6. Step 6: Final answer
    x = 803.47

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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.