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Finding the Fourth Proportional to 680.95, 1,021.17 and 290.70

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Solution

The fourth proportional to 680.95, 1,021.17 and 290.70 is: 435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.95 : 1,021.17 = 290.70 : x
  2. Step 2: Convert to fraction form
    680.95/1,021.17 = 290.70/x
  3. Step 3: Cross multiply
    680.95x = 1,021.17 × 290.70
  4. Step 4: Simplify right side
    680.95x = 296,854.12
  5. Step 5: Solve for x
    x = 296,854.12/680.95
  6. Step 6: Final answer
    x = 435.94

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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.