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Finding the Fourth Proportional to 822.64, 1,232.80 and 451.66

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Solution

The fourth proportional to 822.64, 1,232.80 and 451.66 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.64 : 1,232.80 = 451.66 : x
  2. Step 2: Convert to fraction form
    822.64/1,232.80 = 451.66/x
  3. Step 3: Cross multiply
    822.64x = 1,232.80 × 451.66
  4. Step 4: Simplify right side
    822.64x = 556,806.45
  5. Step 5: Solve for x
    x = 556,806.45/822.64
  6. Step 6: Final answer
    x = 676.85

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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.