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Finding the Fourth Proportional to 1,244.30, 1,865.28 and 422.00

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Solution

The fourth proportional to 1,244.30, 1,865.28 and 422.00 is: 632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.30 : 1,865.28 = 422.00 : x
  2. Step 2: Convert to fraction form
    1,244.30/1,865.28 = 422.00/x
  3. Step 3: Cross multiply
    1,244.30x = 1,865.28 × 422.00
  4. Step 4: Simplify right side
    1,244.30x = 787,147.41
  5. Step 5: Solve for x
    x = 787,147.41/1,244.30
  6. Step 6: Final answer
    x = 632.61

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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.