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Finding the Fourth Proportional to 1,297.09, 1,789.99 and 707.64

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Solution

The fourth proportional to 1,297.09, 1,789.99 and 707.64 is: 976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.09 : 1,789.99 = 707.64 : x
  2. Step 2: Convert to fraction form
    1,297.09/1,789.99 = 707.64/x
  3. Step 3: Cross multiply
    1,297.09x = 1,789.99 × 707.64
  4. Step 4: Simplify right side
    1,297.09x = 1,266,663.05
  5. Step 5: Solve for x
    x = 1,266,663.05/1,297.09
  6. Step 6: Final answer
    x = 976.54

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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.