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Finding the Fourth Proportional to 1,296.45, 1,943.88 and 515.81

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Solution

The fourth proportional to 1,296.45, 1,943.88 and 515.81 is: 773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.45 : 1,943.88 = 515.81 : x
  2. Step 2: Convert to fraction form
    1,296.45/1,943.88 = 515.81/x
  3. Step 3: Cross multiply
    1,296.45x = 1,943.88 × 515.81
  4. Step 4: Simplify right side
    1,296.45x = 1,002,663.02
  5. Step 5: Solve for x
    x = 1,002,663.02/1,296.45
  6. Step 6: Final answer
    x = 773.39

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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.