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Finding the Fourth Proportional to 681.61, 942.51 and 541.48

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Solution

The fourth proportional to 681.61, 942.51 and 541.48 is: 748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.61 : 942.51 = 541.48 : x
  2. Step 2: Convert to fraction form
    681.61/942.51 = 541.48/x
  3. Step 3: Cross multiply
    681.61x = 942.51 × 541.48
  4. Step 4: Simplify right side
    681.61x = 510,350.31
  5. Step 5: Solve for x
    x = 510,350.31/681.61
  6. Step 6: Final answer
    x = 748.74

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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.