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Finding the Fourth Proportional to 780.69, 1,177.03 and 727.82

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Solution

The fourth proportional to 780.69, 1,177.03 and 727.82 is: 1,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.69 : 1,177.03 = 727.82 : x
  2. Step 2: Convert to fraction form
    780.69/1,177.03 = 727.82/x
  3. Step 3: Cross multiply
    780.69x = 1,177.03 × 727.82
  4. Step 4: Simplify right side
    780.69x = 856,658.27
  5. Step 5: Solve for x
    x = 856,658.27/780.69
  6. Step 6: Final answer
    x = 1,097.31

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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.