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Finding the Fourth Proportional to 960.66, 1,325.16 and 895.86

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Solution

The fourth proportional to 960.66, 1,325.16 and 895.86 is: 1,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.66 : 1,325.16 = 895.86 : x
  2. Step 2: Convert to fraction form
    960.66/1,325.16 = 895.86/x
  3. Step 3: Cross multiply
    960.66x = 1,325.16 × 895.86
  4. Step 4: Simplify right side
    960.66x = 1,187,157.84
  5. Step 5: Solve for x
    x = 1,187,157.84/960.66
  6. Step 6: Final answer
    x = 1,235.77

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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.