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Finding the Fourth Proportional to 1,244.64, 1,867.20 and 475.14

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Solution

The fourth proportional to 1,244.64, 1,867.20 and 475.14 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.64 : 1,867.20 = 475.14 : x
  2. Step 2: Convert to fraction form
    1,244.64/1,867.20 = 475.14/x
  3. Step 3: Cross multiply
    1,244.64x = 1,867.20 × 475.14
  4. Step 4: Simplify right side
    1,244.64x = 887,181.41
  5. Step 5: Solve for x
    x = 887,181.41/1,244.64
  6. Step 6: Final answer
    x = 712.80

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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.