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Finding the Fourth Proportional to 1,287.85, 1,778.05 and 846.50

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Solution

The fourth proportional to 1,287.85, 1,778.05 and 846.50 is: 1,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.85 : 1,778.05 = 846.50 : x
  2. Step 2: Convert to fraction form
    1,287.85/1,778.05 = 846.50/x
  3. Step 3: Cross multiply
    1,287.85x = 1,778.05 × 846.50
  4. Step 4: Simplify right side
    1,287.85x = 1,505,121.49
  5. Step 5: Solve for x
    x = 1,505,121.49/1,287.85
  6. Step 6: Final answer
    x = 1,168.71

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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.