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Finding the Fourth Proportional to 816.93, 1,224.90 and 446.88

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Solution

The fourth proportional to 816.93, 1,224.90 and 446.88 is: 670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.93 : 1,224.90 = 446.88 : x
  2. Step 2: Convert to fraction form
    816.93/1,224.90 = 446.88/x
  3. Step 3: Cross multiply
    816.93x = 1,224.90 × 446.88
  4. Step 4: Simplify right side
    816.93x = 547,383.31
  5. Step 5: Solve for x
    x = 547,383.31/816.93
  6. Step 6: Final answer
    x = 670.05

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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.