Home / 1,434.12-2,151.36-509.82

Finding the Fourth Proportional to 1,434.12, 2,151.36 and 509.82

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Solution

The fourth proportional to 1,434.12, 2,151.36 and 509.82 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.12 : 2,151.36 = 509.82 : x
  2. Step 2: Convert to fraction form
    1,434.12/2,151.36 = 509.82/x
  3. Step 3: Cross multiply
    1,434.12x = 2,151.36 × 509.82
  4. Step 4: Simplify right side
    1,434.12x = 1,096,806.36
  5. Step 5: Solve for x
    x = 1,096,806.36/1,434.12
  6. Step 6: Final answer
    x = 764.79

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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.