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Finding the Fourth Proportional to 1,003.41, 1,504.59 and 541.29

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Solution

The fourth proportional to 1,003.41, 1,504.59 and 541.29 is: 811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.41 : 1,504.59 = 541.29 : x
  2. Step 2: Convert to fraction form
    1,003.41/1,504.59 = 541.29/x
  3. Step 3: Cross multiply
    1,003.41x = 1,504.59 × 541.29
  4. Step 4: Simplify right side
    1,003.41x = 814,419.52
  5. Step 5: Solve for x
    x = 814,419.52/1,003.41
  6. Step 6: Final answer
    x = 811.65

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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.