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Finding the Fourth Proportional to 1,022.91, 1,411.68 and 580.92

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Solution

The fourth proportional to 1,022.91, 1,411.68 and 580.92 is: 801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.91 : 1,411.68 = 580.92 : x
  2. Step 2: Convert to fraction form
    1,022.91/1,411.68 = 580.92/x
  3. Step 3: Cross multiply
    1,022.91x = 1,411.68 × 580.92
  4. Step 4: Simplify right side
    1,022.91x = 820,073.15
  5. Step 5: Solve for x
    x = 820,073.15/1,022.91
  6. Step 6: Final answer
    x = 801.71

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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.