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Finding the Fourth Proportional to 1,460.41, 2,015.37 and 797.26

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Solution

The fourth proportional to 1,460.41, 2,015.37 and 797.26 is: 1,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.41 : 2,015.37 = 797.26 : x
  2. Step 2: Convert to fraction form
    1,460.41/2,015.37 = 797.26/x
  3. Step 3: Cross multiply
    1,460.41x = 2,015.37 × 797.26
  4. Step 4: Simplify right side
    1,460.41x = 1,606,769.90
  5. Step 5: Solve for x
    x = 1,606,769.90/1,460.41
  6. Step 6: Final answer
    x = 1,100.22

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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.