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Finding the Fourth Proportional to 1,504.46, 2,254.77 and 811.44

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Solution

The fourth proportional to 1,504.46, 2,254.77 and 811.44 is: 1,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.46 : 2,254.77 = 811.44 : x
  2. Step 2: Convert to fraction form
    1,504.46/2,254.77 = 811.44/x
  3. Step 3: Cross multiply
    1,504.46x = 2,254.77 × 811.44
  4. Step 4: Simplify right side
    1,504.46x = 1,829,610.57
  5. Step 5: Solve for x
    x = 1,829,610.57/1,504.46
  6. Step 6: Final answer
    x = 1,216.12

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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.