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Finding the Fourth Proportional to 1,170.54, 1,754.85 and 863.34

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Solution

The fourth proportional to 1,170.54, 1,754.85 and 863.34 is: 1,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.54 : 1,754.85 = 863.34 : x
  2. Step 2: Convert to fraction form
    1,170.54/1,754.85 = 863.34/x
  3. Step 3: Cross multiply
    1,170.54x = 1,754.85 × 863.34
  4. Step 4: Simplify right side
    1,170.54x = 1,515,032.20
  5. Step 5: Solve for x
    x = 1,515,032.20/1,170.54
  6. Step 6: Final answer
    x = 1,294.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.