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Finding the Fourth Proportional to 1,343.52, 1,854.09 and 746.01

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Solution

The fourth proportional to 1,343.52, 1,854.09 and 746.01 is: 1,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.52 : 1,854.09 = 746.01 : x
  2. Step 2: Convert to fraction form
    1,343.52/1,854.09 = 746.01/x
  3. Step 3: Cross multiply
    1,343.52x = 1,854.09 × 746.01
  4. Step 4: Simplify right side
    1,343.52x = 1,383,169.68
  5. Step 5: Solve for x
    x = 1,383,169.68/1,343.52
  6. Step 6: Final answer
    x = 1,029.51

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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.