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Finding the Fourth Proportional to 1,296.09, 1,942.34 and 711.09

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Solution

The fourth proportional to 1,296.09, 1,942.34 and 711.09 is: 1,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.09 : 1,942.34 = 711.09 : x
  2. Step 2: Convert to fraction form
    1,296.09/1,942.34 = 711.09/x
  3. Step 3: Cross multiply
    1,296.09x = 1,942.34 × 711.09
  4. Step 4: Simplify right side
    1,296.09x = 1,381,175.00
  5. Step 5: Solve for x
    x = 1,381,175.00/1,296.09
  6. Step 6: Final answer
    x = 1,065.65

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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.