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Finding the Fourth Proportional to 890.30, 1,229.91 and 696.35

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Solution

The fourth proportional to 890.30, 1,229.91 and 696.35 is: 961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.30 : 1,229.91 = 696.35 : x
  2. Step 2: Convert to fraction form
    890.30/1,229.91 = 696.35/x
  3. Step 3: Cross multiply
    890.30x = 1,229.91 × 696.35
  4. Step 4: Simplify right side
    890.30x = 856,447.83
  5. Step 5: Solve for x
    x = 856,447.83/890.30
  6. Step 6: Final answer
    x = 961.98

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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.