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Finding the Fourth Proportional to 727.86, 1,004.31 and 492.06

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Solution

The fourth proportional to 727.86, 1,004.31 and 492.06 is: 678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,004.31 = 492.06 : x
  2. Step 2: Convert to fraction form
    727.86/1,004.31 = 492.06/x
  3. Step 3: Cross multiply
    727.86x = 1,004.31 × 492.06
  4. Step 4: Simplify right side
    727.86x = 494,180.78
  5. Step 5: Solve for x
    x = 494,180.78/727.86
  6. Step 6: Final answer
    x = 678.95

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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.