Home / 1,450.24-2,001.12-829.12

Finding the Fourth Proportional to 1,450.24, 2,001.12 and 829.12

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Solution

The fourth proportional to 1,450.24, 2,001.12 and 829.12 is: 1,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.24 : 2,001.12 = 829.12 : x
  2. Step 2: Convert to fraction form
    1,450.24/2,001.12 = 829.12/x
  3. Step 3: Cross multiply
    1,450.24x = 2,001.12 × 829.12
  4. Step 4: Simplify right side
    1,450.24x = 1,659,168.61
  5. Step 5: Solve for x
    x = 1,659,168.61/1,450.24
  6. Step 6: Final answer
    x = 1,144.06

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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.