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Finding the Fourth Proportional to 681.12, 941.10 and 657.78

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Solution

The fourth proportional to 681.12, 941.10 and 657.78 is: 908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 941.10 = 657.78 : x
  2. Step 2: Convert to fraction form
    681.12/941.10 = 657.78/x
  3. Step 3: Cross multiply
    681.12x = 941.10 × 657.78
  4. Step 4: Simplify right side
    681.12x = 619,036.76
  5. Step 5: Solve for x
    x = 619,036.76/681.12
  6. Step 6: Final answer
    x = 908.85

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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.