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Finding the Fourth Proportional to 1,460.26, 2,015.11 and 797.11

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Solution

The fourth proportional to 1,460.26, 2,015.11 and 797.11 is: 1,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.26 : 2,015.11 = 797.11 : x
  2. Step 2: Convert to fraction form
    1,460.26/2,015.11 = 797.11/x
  3. Step 3: Cross multiply
    1,460.26x = 2,015.11 × 797.11
  4. Step 4: Simplify right side
    1,460.26x = 1,606,260.29
  5. Step 5: Solve for x
    x = 1,606,260.29/1,460.26
  6. Step 6: Final answer
    x = 1,099.98

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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.