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Finding the Fourth Proportional to 960.87, 1,325.97 and 587.85

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Solution

The fourth proportional to 960.87, 1,325.97 and 587.85 is: 811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.87 : 1,325.97 = 587.85 : x
  2. Step 2: Convert to fraction form
    960.87/1,325.97 = 587.85/x
  3. Step 3: Cross multiply
    960.87x = 1,325.97 × 587.85
  4. Step 4: Simplify right side
    960.87x = 779,471.46
  5. Step 5: Solve for x
    x = 779,471.46/960.87
  6. Step 6: Final answer
    x = 811.21

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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.