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Finding the Fourth Proportional to 1,296.35, 1,942.37 and 910.91

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Solution

The fourth proportional to 1,296.35, 1,942.37 and 910.91 is: 1,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.35 : 1,942.37 = 910.91 : x
  2. Step 2: Convert to fraction form
    1,296.35/1,942.37 = 910.91/x
  3. Step 3: Cross multiply
    1,296.35x = 1,942.37 × 910.91
  4. Step 4: Simplify right side
    1,296.35x = 1,769,319.70
  5. Step 5: Solve for x
    x = 1,769,319.70/1,296.35
  6. Step 6: Final answer
    x = 1,364.85

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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.