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Finding the Fourth Proportional to 1,296.99, 1,941.74 and 1,163.45

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Solution

The fourth proportional to 1,296.99, 1,941.74 and 1,163.45 is: 1,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.99 : 1,941.74 = 1,163.45 : x
  2. Step 2: Convert to fraction form
    1,296.99/1,941.74 = 1,163.45/x
  3. Step 3: Cross multiply
    1,296.99x = 1,941.74 × 1,163.45
  4. Step 4: Simplify right side
    1,296.99x = 2,259,117.40
  5. Step 5: Solve for x
    x = 2,259,117.40/1,296.99
  6. Step 6: Final answer
    x = 1,741.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.