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Finding the Fourth Proportional to 908.34, 1,252.77 and 558.90

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Solution

The fourth proportional to 908.34, 1,252.77 and 558.90 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.34 : 1,252.77 = 558.90 : x
  2. Step 2: Convert to fraction form
    908.34/1,252.77 = 558.90/x
  3. Step 3: Cross multiply
    908.34x = 1,252.77 × 558.90
  4. Step 4: Simplify right side
    908.34x = 700,173.15
  5. Step 5: Solve for x
    x = 700,173.15/908.34
  6. Step 6: Final answer
    x = 770.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.