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Finding the Fourth Proportional to 1,216.68, 1,824.84 and 447

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Solution

The fourth proportional to 1,216.68, 1,824.84 and 447 is: 670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.68 : 1,824.84 = 447 : x
  2. Step 2: Convert to fraction form
    1,216.68/1,824.84 = 447/x
  3. Step 3: Cross multiply
    1,216.68x = 1,824.84 × 447
  4. Step 4: Simplify right side
    1,216.68x = 815,703.48
  5. Step 5: Solve for x
    x = 815,703.48/1,216.68
  6. Step 6: Final answer
    x = 670.43

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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.