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Finding the Fourth Proportional to 680.22, 1,020.26 and 558.27

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Solution

The fourth proportional to 680.22, 1,020.26 and 558.27 is: 837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.22 : 1,020.26 = 558.27 : x
  2. Step 2: Convert to fraction form
    680.22/1,020.26 = 558.27/x
  3. Step 3: Cross multiply
    680.22x = 1,020.26 × 558.27
  4. Step 4: Simplify right side
    680.22x = 569,581.95
  5. Step 5: Solve for x
    x = 569,581.95/680.22
  6. Step 6: Final answer
    x = 837.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.