Home / 1,464.56-2,021.26-835.23

Finding the Fourth Proportional to 1,464.56, 2,021.26 and 835.23

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Solution

The fourth proportional to 1,464.56, 2,021.26 and 835.23 is: 1,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.56 : 2,021.26 = 835.23 : x
  2. Step 2: Convert to fraction form
    1,464.56/2,021.26 = 835.23/x
  3. Step 3: Cross multiply
    1,464.56x = 2,021.26 × 835.23
  4. Step 4: Simplify right side
    1,464.56x = 1,688,216.99
  5. Step 5: Solve for x
    x = 1,688,216.99/1,464.56
  6. Step 6: Final answer
    x = 1,152.71

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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.