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Finding the Fourth Proportional to 993.98, 1,489.79 and 749.70

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Solution

The fourth proportional to 993.98, 1,489.79 and 749.70 is: 1,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.98 : 1,489.79 = 749.70 : x
  2. Step 2: Convert to fraction form
    993.98/1,489.79 = 749.70/x
  3. Step 3: Cross multiply
    993.98x = 1,489.79 × 749.70
  4. Step 4: Simplify right side
    993.98x = 1,116,895.56
  5. Step 5: Solve for x
    x = 1,116,895.56/993.98
  6. Step 6: Final answer
    x = 1,123.66

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.