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Finding the Fourth Proportional to 1,327.97, 1,832.75 and 797.15

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Solution

The fourth proportional to 1,327.97, 1,832.75 and 797.15 is: 1,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.97 : 1,832.75 = 797.15 : x
  2. Step 2: Convert to fraction form
    1,327.97/1,832.75 = 797.15/x
  3. Step 3: Cross multiply
    1,327.97x = 1,832.75 × 797.15
  4. Step 4: Simplify right side
    1,327.97x = 1,460,963.51
  5. Step 5: Solve for x
    x = 1,460,963.51/1,327.97
  6. Step 6: Final answer
    x = 1,100.15

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1.5x scale

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.