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Finding the Fourth Proportional to 786.96, 1,180.04 and 299.64

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Solution

The fourth proportional to 786.96, 1,180.04 and 299.64 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.96 : 1,180.04 = 299.64 : x
  2. Step 2: Convert to fraction form
    786.96/1,180.04 = 299.64/x
  3. Step 3: Cross multiply
    786.96x = 1,180.04 × 299.64
  4. Step 4: Simplify right side
    786.96x = 353,587.19
  5. Step 5: Solve for x
    x = 353,587.19/786.96
  6. Step 6: Final answer
    x = 449.31

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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.