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Finding the Fourth Proportional to 1,216.64, 1,824.96 and 639.20

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Solution

The fourth proportional to 1,216.64, 1,824.96 and 639.20 is: 958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.64 : 1,824.96 = 639.20 : x
  2. Step 2: Convert to fraction form
    1,216.64/1,824.96 = 639.20/x
  3. Step 3: Cross multiply
    1,216.64x = 1,824.96 × 639.20
  4. Step 4: Simplify right side
    1,216.64x = 1,166,514.43
  5. Step 5: Solve for x
    x = 1,166,514.43/1,216.64
  6. Step 6: Final answer
    x = 958.80

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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.