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Finding the Fourth Proportional to 1,322.78, 1,825.40 and 733.30

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Solution

The fourth proportional to 1,322.78, 1,825.40 and 733.30 is: 1,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.78 : 1,825.40 = 733.30 : x
  2. Step 2: Convert to fraction form
    1,322.78/1,825.40 = 733.30/x
  3. Step 3: Cross multiply
    1,322.78x = 1,825.40 × 733.30
  4. Step 4: Simplify right side
    1,322.78x = 1,338,563.09
  5. Step 5: Solve for x
    x = 1,338,563.09/1,322.78
  6. Step 6: Final answer
    x = 1,011.94

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Why These Related Problems?

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