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Finding the Fourth Proportional to 1,022.54, 1,411.06 and 580.43

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Solution

The fourth proportional to 1,022.54, 1,411.06 and 580.43 is: 800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.54 : 1,411.06 = 580.43 : x
  2. Step 2: Convert to fraction form
    1,022.54/1,411.06 = 580.43/x
  3. Step 3: Cross multiply
    1,022.54x = 1,411.06 × 580.43
  4. Step 4: Simplify right side
    1,022.54x = 819,023.63
  5. Step 5: Solve for x
    x = 819,023.63/1,022.54
  6. Step 6: Final answer
    x = 800.97

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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.