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Finding the Fourth Proportional to 1,356.74, 1,872.31 and 759.26

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Solution

The fourth proportional to 1,356.74, 1,872.31 and 759.26 is: 1,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.74 : 1,872.31 = 759.26 : x
  2. Step 2: Convert to fraction form
    1,356.74/1,872.31 = 759.26/x
  3. Step 3: Cross multiply
    1,356.74x = 1,872.31 × 759.26
  4. Step 4: Simplify right side
    1,356.74x = 1,421,570.09
  5. Step 5: Solve for x
    x = 1,421,570.09/1,356.74
  6. Step 6: Final answer
    x = 1,047.78

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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.