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Finding the Fourth Proportional to 680.55, 943.98 and 657.24

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Solution

The fourth proportional to 680.55, 943.98 and 657.24 is: 911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.55 : 943.98 = 657.24 : x
  2. Step 2: Convert to fraction form
    680.55/943.98 = 657.24/x
  3. Step 3: Cross multiply
    680.55x = 943.98 × 657.24
  4. Step 4: Simplify right side
    680.55x = 620,421.42
  5. Step 5: Solve for x
    x = 620,421.42/680.55
  6. Step 6: Final answer
    x = 911.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.