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Finding the Fourth Proportional to 1,021.92, 1,410.31 and 573.82

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Solution

The fourth proportional to 1,021.92, 1,410.31 and 573.82 is: 791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.92 : 1,410.31 = 573.82 : x
  2. Step 2: Convert to fraction form
    1,021.92/1,410.31 = 573.82/x
  3. Step 3: Cross multiply
    1,021.92x = 1,410.31 × 573.82
  4. Step 4: Simplify right side
    1,021.92x = 809,264.08
  5. Step 5: Solve for x
    x = 809,264.08/1,021.92
  6. Step 6: Final answer
    x = 791.91

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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.