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Finding the Fourth Proportional to 1,022.56, 1,411.24 and 580.56

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Solution

The fourth proportional to 1,022.56, 1,411.24 and 580.56 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.56 : 1,411.24 = 580.56 : x
  2. Step 2: Convert to fraction form
    1,022.56/1,411.24 = 580.56/x
  3. Step 3: Cross multiply
    1,022.56x = 1,411.24 × 580.56
  4. Step 4: Simplify right side
    1,022.56x = 819,309.49
  5. Step 5: Solve for x
    x = 819,309.49/1,022.56
  6. Step 6: Final answer
    x = 801.23

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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.