Home / 1,460.23-2,015.11-797.12

Finding the Fourth Proportional to 1,460.23, 2,015.11 and 797.12

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Solution

The fourth proportional to 1,460.23, 2,015.11 and 797.12 is: 1,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.23 : 2,015.11 = 797.12 : x
  2. Step 2: Convert to fraction form
    1,460.23/2,015.11 = 797.12/x
  3. Step 3: Cross multiply
    1,460.23x = 2,015.11 × 797.12
  4. Step 4: Simplify right side
    1,460.23x = 1,606,284.48
  5. Step 5: Solve for x
    x = 1,606,284.48/1,460.23
  6. Step 6: Final answer
    x = 1,100.02

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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.