Home / 1,464.24-2,196.87-733.65

Finding the Fourth Proportional to 1,464.24, 2,196.87 and 733.65

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Solution

The fourth proportional to 1,464.24, 2,196.87 and 733.65 is: 1,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.24 : 2,196.87 = 733.65 : x
  2. Step 2: Convert to fraction form
    1,464.24/2,196.87 = 733.65/x
  3. Step 3: Cross multiply
    1,464.24x = 2,196.87 × 733.65
  4. Step 4: Simplify right side
    1,464.24x = 1,611,733.68
  5. Step 5: Solve for x
    x = 1,611,733.68/1,464.24
  6. Step 6: Final answer
    x = 1,100.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.