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Finding the Fourth Proportional to 1,321.73, 1,824.35 and 824.07

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Solution

The fourth proportional to 1,321.73, 1,824.35 and 824.07 is: 1,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.73 : 1,824.35 = 824.07 : x
  2. Step 2: Convert to fraction form
    1,321.73/1,824.35 = 824.07/x
  3. Step 3: Cross multiply
    1,321.73x = 1,824.35 × 824.07
  4. Step 4: Simplify right side
    1,321.73x = 1,503,392.10
  5. Step 5: Solve for x
    x = 1,503,392.10/1,321.73
  6. Step 6: Final answer
    x = 1,137.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.