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Finding the Fourth Proportional to 958.77, 1,322.33 and 811.89

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Solution

The fourth proportional to 958.77, 1,322.33 and 811.89 is: 1,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.77 : 1,322.33 = 811.89 : x
  2. Step 2: Convert to fraction form
    958.77/1,322.33 = 811.89/x
  3. Step 3: Cross multiply
    958.77x = 1,322.33 × 811.89
  4. Step 4: Simplify right side
    958.77x = 1,073,582.44
  5. Step 5: Solve for x
    x = 1,073,582.44/958.77
  6. Step 6: Final answer
    x = 1,119.75

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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.