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Finding the Fourth Proportional to 963.49, 1,329.62 and 521.39

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Solution

The fourth proportional to 963.49, 1,329.62 and 521.39 is: 719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.49 : 1,329.62 = 521.39 : x
  2. Step 2: Convert to fraction form
    963.49/1,329.62 = 521.39/x
  3. Step 3: Cross multiply
    963.49x = 1,329.62 × 521.39
  4. Step 4: Simplify right side
    963.49x = 693,250.57
  5. Step 5: Solve for x
    x = 693,250.57/963.49
  6. Step 6: Final answer
    x = 719.52

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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.