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Finding the Fourth Proportional to 1,336.45, 2,004.14 and 514.27

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Solution

The fourth proportional to 1,336.45, 2,004.14 and 514.27 is: 771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.45 : 2,004.14 = 514.27 : x
  2. Step 2: Convert to fraction form
    1,336.45/2,004.14 = 514.27/x
  3. Step 3: Cross multiply
    1,336.45x = 2,004.14 × 514.27
  4. Step 4: Simplify right side
    1,336.45x = 1,030,661.60
  5. Step 5: Solve for x
    x = 1,030,661.60/1,336.45
  6. Step 6: Final answer
    x = 771.19

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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.