Home / 1,092.24-1,631.44-1,029.06

Finding the Fourth Proportional to 1,092.24, 1,631.44 and 1,029.06

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Solution

The fourth proportional to 1,092.24, 1,631.44 and 1,029.06 is: 1,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.24 : 1,631.44 = 1,029.06 : x
  2. Step 2: Convert to fraction form
    1,092.24/1,631.44 = 1,029.06/x
  3. Step 3: Cross multiply
    1,092.24x = 1,631.44 × 1,029.06
  4. Step 4: Simplify right side
    1,092.24x = 1,678,849.65
  5. Step 5: Solve for x
    x = 1,678,849.65/1,092.24
  6. Step 6: Final answer
    x = 1,537.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.