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Finding the Fourth Proportional to 1,296.74, 1,789.49 and 707.27

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Solution

The fourth proportional to 1,296.74, 1,789.49 and 707.27 is: 976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.74 : 1,789.49 = 707.27 : x
  2. Step 2: Convert to fraction form
    1,296.74/1,789.49 = 707.27/x
  3. Step 3: Cross multiply
    1,296.74x = 1,789.49 × 707.27
  4. Step 4: Simplify right side
    1,296.74x = 1,265,640.11
  5. Step 5: Solve for x
    x = 1,265,640.11/1,296.74
  6. Step 6: Final answer
    x = 976.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.