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Finding the Fourth Proportional to 963.92, 1,330.21 and 521.82

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Solution

The fourth proportional to 963.92, 1,330.21 and 521.82 is: 720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.92 : 1,330.21 = 521.82 : x
  2. Step 2: Convert to fraction form
    963.92/1,330.21 = 521.82/x
  3. Step 3: Cross multiply
    963.92x = 1,330.21 × 521.82
  4. Step 4: Simplify right side
    963.92x = 694,127.57
  5. Step 5: Solve for x
    x = 694,127.57/963.92
  6. Step 6: Final answer
    x = 720.11

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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.