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Finding the Fourth Proportional to 1,003.21, 1,381.40 and 792.71

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Solution

The fourth proportional to 1,003.21, 1,381.40 and 792.71 is: 1,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.21 : 1,381.40 = 792.71 : x
  2. Step 2: Convert to fraction form
    1,003.21/1,381.40 = 792.71/x
  3. Step 3: Cross multiply
    1,003.21x = 1,381.40 × 792.71
  4. Step 4: Simplify right side
    1,003.21x = 1,095,049.59
  5. Step 5: Solve for x
    x = 1,095,049.59/1,003.21
  6. Step 6: Final answer
    x = 1,091.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.