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Finding the Fourth Proportional to 1,022.68, 1,411.33 and 580.62

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Solution

The fourth proportional to 1,022.68, 1,411.33 and 580.62 is: 801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.68 : 1,411.33 = 580.62 : x
  2. Step 2: Convert to fraction form
    1,022.68/1,411.33 = 580.62/x
  3. Step 3: Cross multiply
    1,022.68x = 1,411.33 × 580.62
  4. Step 4: Simplify right side
    1,022.68x = 819,445.05
  5. Step 5: Solve for x
    x = 819,445.05/1,022.68
  6. Step 6: Final answer
    x = 801.28

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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.