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Finding the Fourth Proportional to 1,274.58, 1,759.05 and 832.73

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Solution

The fourth proportional to 1,274.58, 1,759.05 and 832.73 is: 1,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.58 : 1,759.05 = 832.73 : x
  2. Step 2: Convert to fraction form
    1,274.58/1,759.05 = 832.73/x
  3. Step 3: Cross multiply
    1,274.58x = 1,759.05 × 832.73
  4. Step 4: Simplify right side
    1,274.58x = 1,464,804.91
  5. Step 5: Solve for x
    x = 1,464,804.91/1,274.58
  6. Step 6: Final answer
    x = 1,149.25

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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.