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Finding the Fourth Proportional to 1,296.83, 1,942.13 and 710.96

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Solution

The fourth proportional to 1,296.83, 1,942.13 and 710.96 is: 1,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.83 : 1,942.13 = 710.96 : x
  2. Step 2: Convert to fraction form
    1,296.83/1,942.13 = 710.96/x
  3. Step 3: Cross multiply
    1,296.83x = 1,942.13 × 710.96
  4. Step 4: Simplify right side
    1,296.83x = 1,380,763.48
  5. Step 5: Solve for x
    x = 1,380,763.48/1,296.83
  6. Step 6: Final answer
    x = 1,064.73

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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.