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Finding the Fourth Proportional to 781.13, 1,076.09 and 656.80

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Solution

The fourth proportional to 781.13, 1,076.09 and 656.80 is: 904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.13 : 1,076.09 = 656.80 : x
  2. Step 2: Convert to fraction form
    781.13/1,076.09 = 656.80/x
  3. Step 3: Cross multiply
    781.13x = 1,076.09 × 656.80
  4. Step 4: Simplify right side
    781.13x = 706,769.94
  5. Step 5: Solve for x
    x = 706,769.94/781.13
  6. Step 6: Final answer
    x = 904.80

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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.