Home / 1,317.24-1,817.74-727.76

Finding the Fourth Proportional to 1,317.24, 1,817.74 and 727.76

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Solution

The fourth proportional to 1,317.24, 1,817.74 and 727.76 is: 1,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.24 : 1,817.74 = 727.76 : x
  2. Step 2: Convert to fraction form
    1,317.24/1,817.74 = 727.76/x
  3. Step 3: Cross multiply
    1,317.24x = 1,817.74 × 727.76
  4. Step 4: Simplify right side
    1,317.24x = 1,322,883.92
  5. Step 5: Solve for x
    x = 1,322,883.92/1,317.24
  6. Step 6: Final answer
    x = 1,004.28

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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.