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Finding the Fourth Proportional to 958.70, 1,323.54 and 725.42

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Solution

The fourth proportional to 958.70, 1,323.54 and 725.42 is: 1,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.70 : 1,323.54 = 725.42 : x
  2. Step 2: Convert to fraction form
    958.70/1,323.54 = 725.42/x
  3. Step 3: Cross multiply
    958.70x = 1,323.54 × 725.42
  4. Step 4: Simplify right side
    958.70x = 960,115.77
  5. Step 5: Solve for x
    x = 960,115.77/958.70
  6. Step 6: Final answer
    x = 1,001.48

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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.