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Finding the Fourth Proportional to 793.65, 1,189.23 and 587.73

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Solution

The fourth proportional to 793.65, 1,189.23 and 587.73 is: 880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.65 : 1,189.23 = 587.73 : x
  2. Step 2: Convert to fraction form
    793.65/1,189.23 = 587.73/x
  3. Step 3: Cross multiply
    793.65x = 1,189.23 × 587.73
  4. Step 4: Simplify right side
    793.65x = 698,946.15
  5. Step 5: Solve for x
    x = 698,946.15/793.65
  6. Step 6: Final answer
    x = 880.67

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