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Finding the Fourth Proportional to 966.08, 1,334.13 and 825.37

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Solution

The fourth proportional to 966.08, 1,334.13 and 825.37 is: 1,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.08 : 1,334.13 = 825.37 : x
  2. Step 2: Convert to fraction form
    966.08/1,334.13 = 825.37/x
  3. Step 3: Cross multiply
    966.08x = 1,334.13 × 825.37
  4. Step 4: Simplify right side
    966.08x = 1,101,150.88
  5. Step 5: Solve for x
    x = 1,101,150.88/966.08
  6. Step 6: Final answer
    x = 1,139.81

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Why These Related Problems?

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