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Finding the Fourth Proportional to 1,297.06, 1,945.24 and 359.79

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Solution

The fourth proportional to 1,297.06, 1,945.24 and 359.79 is: 539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.06 : 1,945.24 = 359.79 : x
  2. Step 2: Convert to fraction form
    1,297.06/1,945.24 = 359.79/x
  3. Step 3: Cross multiply
    1,297.06x = 1,945.24 × 359.79
  4. Step 4: Simplify right side
    1,297.06x = 699,877.90
  5. Step 5: Solve for x
    x = 699,877.90/1,297.06
  6. Step 6: Final answer
    x = 539.59

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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.