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Finding the Fourth Proportional to 680.67, 1,026.54 and 627.21

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Solution

The fourth proportional to 680.67, 1,026.54 and 627.21 is: 945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.67 : 1,026.54 = 627.21 : x
  2. Step 2: Convert to fraction form
    680.67/1,026.54 = 627.21/x
  3. Step 3: Cross multiply
    680.67x = 1,026.54 × 627.21
  4. Step 4: Simplify right side
    680.67x = 643,856.15
  5. Step 5: Solve for x
    x = 643,856.15/680.67
  6. Step 6: Final answer
    x = 945.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.