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Finding the Fourth Proportional to 1,461.14, 2,016.36 and 797.99

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Solution

The fourth proportional to 1,461.14, 2,016.36 and 797.99 is: 1,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.14 : 2,016.36 = 797.99 : x
  2. Step 2: Convert to fraction form
    1,461.14/2,016.36 = 797.99/x
  3. Step 3: Cross multiply
    1,461.14x = 2,016.36 × 797.99
  4. Step 4: Simplify right side
    1,461.14x = 1,609,025.03
  5. Step 5: Solve for x
    x = 1,609,025.03/1,461.14
  6. Step 6: Final answer
    x = 1,101.22

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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.