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Finding the Fourth Proportional to 963.87, 1,446.21 and 416.45

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Solution

The fourth proportional to 963.87, 1,446.21 and 416.45 is: 624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.87 : 1,446.21 = 416.45 : x
  2. Step 2: Convert to fraction form
    963.87/1,446.21 = 416.45/x
  3. Step 3: Cross multiply
    963.87x = 1,446.21 × 416.45
  4. Step 4: Simplify right side
    963.87x = 602,266.92
  5. Step 5: Solve for x
    x = 602,266.92/963.87
  6. Step 6: Final answer
    x = 624.84

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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.