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Finding the Fourth Proportional to 680.42, 1,021.04 and 448.76

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Solution

The fourth proportional to 680.42, 1,021.04 and 448.76 is: 673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.42 : 1,021.04 = 448.76 : x
  2. Step 2: Convert to fraction form
    680.42/1,021.04 = 448.76/x
  3. Step 3: Cross multiply
    680.42x = 1,021.04 × 448.76
  4. Step 4: Simplify right side
    680.42x = 458,201.91
  5. Step 5: Solve for x
    x = 458,201.91/680.42
  6. Step 6: Final answer
    x = 673.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.