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Finding the Fourth Proportional to 820.88, 1,232.28 and 455.84

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Solution

The fourth proportional to 820.88, 1,232.28 and 455.84 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.88 : 1,232.28 = 455.84 : x
  2. Step 2: Convert to fraction form
    820.88/1,232.28 = 455.84/x
  3. Step 3: Cross multiply
    820.88x = 1,232.28 × 455.84
  4. Step 4: Simplify right side
    820.88x = 561,722.52
  5. Step 5: Solve for x
    x = 561,722.52/820.88
  6. Step 6: Final answer
    x = 684.29

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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.