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Finding the Fourth Proportional to 1,296.80, 1,945.44 and 517.16

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Solution

The fourth proportional to 1,296.80, 1,945.44 and 517.16 is: 775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.80 : 1,945.44 = 517.16 : x
  2. Step 2: Convert to fraction form
    1,296.80/1,945.44 = 517.16/x
  3. Step 3: Cross multiply
    1,296.80x = 1,945.44 × 517.16
  4. Step 4: Simplify right side
    1,296.80x = 1,006,103.75
  5. Step 5: Solve for x
    x = 1,006,103.75/1,296.80
  6. Step 6: Final answer
    x = 775.84

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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.