Home / 1,290.30-1,934.11-509.97

Finding the Fourth Proportional to 1,290.30, 1,934.11 and 509.97

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Solution

The fourth proportional to 1,290.30, 1,934.11 and 509.97 is: 764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.30 : 1,934.11 = 509.97 : x
  2. Step 2: Convert to fraction form
    1,290.30/1,934.11 = 509.97/x
  3. Step 3: Cross multiply
    1,290.30x = 1,934.11 × 509.97
  4. Step 4: Simplify right side
    1,290.30x = 986,345.97
  5. Step 5: Solve for x
    x = 986,345.97/1,290.30
  6. Step 6: Final answer
    x = 764.43

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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.