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Finding the Fourth Proportional to 964.23, 1,330.63 and 522.13

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Solution

The fourth proportional to 964.23, 1,330.63 and 522.13 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.23 : 1,330.63 = 522.13 : x
  2. Step 2: Convert to fraction form
    964.23/1,330.63 = 522.13/x
  3. Step 3: Cross multiply
    964.23x = 1,330.63 × 522.13
  4. Step 4: Simplify right side
    964.23x = 694,759.70
  5. Step 5: Solve for x
    x = 694,759.70/964.23
  6. Step 6: Final answer
    x = 720.54

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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.