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Finding the Fourth Proportional to 964.22, 1,330.62 and 522.13

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Solution

The fourth proportional to 964.22, 1,330.62 and 522.13 is: 720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.22 : 1,330.62 = 522.13 : x
  2. Step 2: Convert to fraction form
    964.22/1,330.62 = 522.13/x
  3. Step 3: Cross multiply
    964.22x = 1,330.62 × 522.13
  4. Step 4: Simplify right side
    964.22x = 694,749.97
  5. Step 5: Solve for x
    x = 694,749.97/964.22
  6. Step 6: Final answer
    x = 720.53

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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.