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Finding the Fourth Proportional to 963.14, 1,443.49 and 414.67

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Solution

The fourth proportional to 963.14, 1,443.49 and 414.67 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 1,443.49 = 414.67 : x
  2. Step 2: Convert to fraction form
    963.14/1,443.49 = 414.67/x
  3. Step 3: Cross multiply
    963.14x = 1,443.49 × 414.67
  4. Step 4: Simplify right side
    963.14x = 598,572.00
  5. Step 5: Solve for x
    x = 598,572.00/963.14
  6. Step 6: Final answer
    x = 621.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.