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Finding the Fourth Proportional to 946.90, 1,420.17 and 426.70

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Solution

The fourth proportional to 946.90, 1,420.17 and 426.70 is: 639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.90 : 1,420.17 = 426.70 : x
  2. Step 2: Convert to fraction form
    946.90/1,420.17 = 426.70/x
  3. Step 3: Cross multiply
    946.90x = 1,420.17 × 426.70
  4. Step 4: Simplify right side
    946.90x = 605,986.54
  5. Step 5: Solve for x
    x = 605,986.54/946.90
  6. Step 6: Final answer
    x = 639.97

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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.