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Finding the Fourth Proportional to 780.09, 1,175.99 and 727.23

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Solution

The fourth proportional to 780.09, 1,175.99 and 727.23 is: 1,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.09 : 1,175.99 = 727.23 : x
  2. Step 2: Convert to fraction form
    780.09/1,175.99 = 727.23/x
  3. Step 3: Cross multiply
    780.09x = 1,175.99 × 727.23
  4. Step 4: Simplify right side
    780.09x = 855,215.21
  5. Step 5: Solve for x
    x = 855,215.21/780.09
  6. Step 6: Final answer
    x = 1,096.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.