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Finding the Fourth Proportional to 962.25, 1,327.26 and 713.79

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Solution

The fourth proportional to 962.25, 1,327.26 and 713.79 is: 984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,327.26 = 713.79 : x
  2. Step 2: Convert to fraction form
    962.25/1,327.26 = 713.79/x
  3. Step 3: Cross multiply
    962.25x = 1,327.26 × 713.79
  4. Step 4: Simplify right side
    962.25x = 947,384.92
  5. Step 5: Solve for x
    x = 947,384.92/962.25
  6. Step 6: Final answer
    x = 984.55

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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.