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Finding the Fourth Proportional to 816.30, 1,224.45 and 624.30

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Solution

The fourth proportional to 816.30, 1,224.45 and 624.30 is: 936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.30 : 1,224.45 = 624.30 : x
  2. Step 2: Convert to fraction form
    816.30/1,224.45 = 624.30/x
  3. Step 3: Cross multiply
    816.30x = 1,224.45 × 624.30
  4. Step 4: Simplify right side
    816.30x = 764,424.14
  5. Step 5: Solve for x
    x = 764,424.14/816.30
  6. Step 6: Final answer
    x = 936.45

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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.