Home / 1,433.15-2,149.26-459.02

Finding the Fourth Proportional to 1,433.15, 2,149.26 and 459.02

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Solution

The fourth proportional to 1,433.15, 2,149.26 and 459.02 is: 688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.15 : 2,149.26 = 459.02 : x
  2. Step 2: Convert to fraction form
    1,433.15/2,149.26 = 459.02/x
  3. Step 3: Cross multiply
    1,433.15x = 2,149.26 × 459.02
  4. Step 4: Simplify right side
    1,433.15x = 986,553.33
  5. Step 5: Solve for x
    x = 986,553.33/1,433.15
  6. Step 6: Final answer
    x = 688.38

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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.