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Finding the Fourth Proportional to 681.96, 941.30 and 542.32

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Solution

The fourth proportional to 681.96, 941.30 and 542.32 is: 748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.96 : 941.30 = 542.32 : x
  2. Step 2: Convert to fraction form
    681.96/941.30 = 542.32/x
  3. Step 3: Cross multiply
    681.96x = 941.30 × 542.32
  4. Step 4: Simplify right side
    681.96x = 510,485.82
  5. Step 5: Solve for x
    x = 510,485.82/681.96
  6. Step 6: Final answer
    x = 748.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.