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Finding the Fourth Proportional to 908.22, 1,252.90 and 558.30

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Solution

The fourth proportional to 908.22, 1,252.90 and 558.30 is: 770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.22 : 1,252.90 = 558.30 : x
  2. Step 2: Convert to fraction form
    908.22/1,252.90 = 558.30/x
  3. Step 3: Cross multiply
    908.22x = 1,252.90 × 558.30
  4. Step 4: Simplify right side
    908.22x = 699,485.01
  5. Step 5: Solve for x
    x = 699,485.01/908.22
  6. Step 6: Final answer
    x = 770.18

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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.