Home / 1,231.24-1,699.33-733.91

Finding the Fourth Proportional to 1,231.24, 1,699.33 and 733.91

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Solution

The fourth proportional to 1,231.24, 1,699.33 and 733.91 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.24 : 1,699.33 = 733.91 : x
  2. Step 2: Convert to fraction form
    1,231.24/1,699.33 = 733.91/x
  3. Step 3: Cross multiply
    1,231.24x = 1,699.33 × 733.91
  4. Step 4: Simplify right side
    1,231.24x = 1,247,151.10
  5. Step 5: Solve for x
    x = 1,247,151.10/1,231.24
  6. Step 6: Final answer
    x = 1,012.93

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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.