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Finding the Fourth Proportional to 958.96, 1,323.84 and 650.08

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Solution

The fourth proportional to 958.96, 1,323.84 and 650.08 is: 897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.96 : 1,323.84 = 650.08 : x
  2. Step 2: Convert to fraction form
    958.96/1,323.84 = 650.08/x
  3. Step 3: Cross multiply
    958.96x = 1,323.84 × 650.08
  4. Step 4: Simplify right side
    958.96x = 860,601.91
  5. Step 5: Solve for x
    x = 860,601.91/958.96
  6. Step 6: Final answer
    x = 897.43

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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.