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Finding the Fourth Proportional to 946.68, 1,419.96 and 426.36

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Solution

The fourth proportional to 946.68, 1,419.96 and 426.36 is: 639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.68 : 1,419.96 = 426.36 : x
  2. Step 2: Convert to fraction form
    946.68/1,419.96 = 426.36/x
  3. Step 3: Cross multiply
    946.68x = 1,419.96 × 426.36
  4. Step 4: Simplify right side
    946.68x = 605,414.15
  5. Step 5: Solve for x
    x = 605,414.15/946.68
  6. Step 6: Final answer
    x = 639.51

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Why These Related Problems?

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