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Finding the Fourth Proportional to 682.29, 1,028.09 and 563.22

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Solution

The fourth proportional to 682.29, 1,028.09 and 563.22 is: 848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 1,028.09 = 563.22 : x
  2. Step 2: Convert to fraction form
    682.29/1,028.09 = 563.22/x
  3. Step 3: Cross multiply
    682.29x = 1,028.09 × 563.22
  4. Step 4: Simplify right side
    682.29x = 579,038.03
  5. Step 5: Solve for x
    x = 579,038.03/682.29
  6. Step 6: Final answer
    x = 848.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.