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Finding the Fourth Proportional to 786.31, 1,085.54 and 681.55

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Solution

The fourth proportional to 786.31, 1,085.54 and 681.55 is: 940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.31 : 1,085.54 = 681.55 : x
  2. Step 2: Convert to fraction form
    786.31/1,085.54 = 681.55/x
  3. Step 3: Cross multiply
    786.31x = 1,085.54 × 681.55
  4. Step 4: Simplify right side
    786.31x = 739,843.67
  5. Step 5: Solve for x
    x = 739,843.67/786.31
  6. Step 6: Final answer
    x = 940.91

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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.