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Finding the Fourth Proportional to 963.23, 1,329.25 and 521.12

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Solution

The fourth proportional to 963.23, 1,329.25 and 521.12 is: 719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.23 : 1,329.25 = 521.12 : x
  2. Step 2: Convert to fraction form
    963.23/1,329.25 = 521.12/x
  3. Step 3: Cross multiply
    963.23x = 1,329.25 × 521.12
  4. Step 4: Simplify right side
    963.23x = 692,702.30
  5. Step 5: Solve for x
    x = 692,702.30/963.23
  6. Step 6: Final answer
    x = 719.15

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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.