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Finding the Fourth Proportional to 979.37, 1,468.43 and 423.78

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Solution

The fourth proportional to 979.37, 1,468.43 and 423.78 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.37 : 1,468.43 = 423.78 : x
  2. Step 2: Convert to fraction form
    979.37/1,468.43 = 423.78/x
  3. Step 3: Cross multiply
    979.37x = 1,468.43 × 423.78
  4. Step 4: Simplify right side
    979.37x = 622,292.32
  5. Step 5: Solve for x
    x = 622,292.32/979.37
  6. Step 6: Final answer
    x = 635.40

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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.