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Finding the Fourth Proportional to 1,322.97, 1,825.70 and 733.51

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Solution

The fourth proportional to 1,322.97, 1,825.70 and 733.51 is: 1,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.97 : 1,825.70 = 733.51 : x
  2. Step 2: Convert to fraction form
    1,322.97/1,825.70 = 733.51/x
  3. Step 3: Cross multiply
    1,322.97x = 1,825.70 × 733.51
  4. Step 4: Simplify right side
    1,322.97x = 1,339,169.21
  5. Step 5: Solve for x
    x = 1,339,169.21/1,322.97
  6. Step 6: Final answer
    x = 1,012.24

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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.