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Finding the Fourth Proportional to 1,002.17, 1,381.64 and 863.75

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Solution

The fourth proportional to 1,002.17, 1,381.64 and 863.75 is: 1,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.17 : 1,381.64 = 863.75 : x
  2. Step 2: Convert to fraction form
    1,002.17/1,381.64 = 863.75/x
  3. Step 3: Cross multiply
    1,002.17x = 1,381.64 × 863.75
  4. Step 4: Simplify right side
    1,002.17x = 1,193,390.69
  5. Step 5: Solve for x
    x = 1,193,390.69/1,002.17
  6. Step 6: Final answer
    x = 1,190.80

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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.