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Finding the Fourth Proportional to 779.94, 1,175.90 and 727.07

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Solution

The fourth proportional to 779.94, 1,175.90 and 727.07 is: 1,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.94 : 1,175.90 = 727.07 : x
  2. Step 2: Convert to fraction form
    779.94/1,175.90 = 727.07/x
  3. Step 3: Cross multiply
    779.94x = 1,175.90 × 727.07
  4. Step 4: Simplify right side
    779.94x = 854,952.10
  5. Step 5: Solve for x
    x = 854,952.10/779.94
  6. Step 6: Final answer
    x = 1,096.18

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Why These Related Problems?

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