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Finding the Fourth Proportional to 890.98, 1,230.06 and 680.76

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Solution

The fourth proportional to 890.98, 1,230.06 and 680.76 is: 939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.98 : 1,230.06 = 680.76 : x
  2. Step 2: Convert to fraction form
    890.98/1,230.06 = 680.76/x
  3. Step 3: Cross multiply
    890.98x = 1,230.06 × 680.76
  4. Step 4: Simplify right side
    890.98x = 837,375.65
  5. Step 5: Solve for x
    x = 837,375.65/890.98
  6. Step 6: Final answer
    x = 939.84

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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.