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Finding the Fourth Proportional to 963.14, 1,328.83 and 589.73

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Solution

The fourth proportional to 963.14, 1,328.83 and 589.73 is: 813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 1,328.83 = 589.73 : x
  2. Step 2: Convert to fraction form
    963.14/1,328.83 = 589.73/x
  3. Step 3: Cross multiply
    963.14x = 1,328.83 × 589.73
  4. Step 4: Simplify right side
    963.14x = 783,650.92
  5. Step 5: Solve for x
    x = 783,650.92/963.14
  6. Step 6: Final answer
    x = 813.64

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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.