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Finding the Fourth Proportional to 786.69, 1,180.34 and 299.81

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Solution

The fourth proportional to 786.69, 1,180.34 and 299.81 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.69 : 1,180.34 = 299.81 : x
  2. Step 2: Convert to fraction form
    786.69/1,180.34 = 299.81/x
  3. Step 3: Cross multiply
    786.69x = 1,180.34 × 299.81
  4. Step 4: Simplify right side
    786.69x = 353,870.33
  5. Step 5: Solve for x
    x = 353,870.33/786.69
  6. Step 6: Final answer
    x = 449.82

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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.