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Finding the Fourth Proportional to 958.74, 1,324.35 and 846.88

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Solution

The fourth proportional to 958.74, 1,324.35 and 846.88 is: 1,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.74 : 1,324.35 = 846.88 : x
  2. Step 2: Convert to fraction form
    958.74/1,324.35 = 846.88/x
  3. Step 3: Cross multiply
    958.74x = 1,324.35 × 846.88
  4. Step 4: Simplify right side
    958.74x = 1,121,562.22
  5. Step 5: Solve for x
    x = 1,121,562.22/958.74
  6. Step 6: Final answer
    x = 1,169.83

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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.