Home / 1,197.24-1,653.66-849.48

Finding the Fourth Proportional to 1,197.24, 1,653.66 and 849.48

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Solution

The fourth proportional to 1,197.24, 1,653.66 and 849.48 is: 1,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.24 : 1,653.66 = 849.48 : x
  2. Step 2: Convert to fraction form
    1,197.24/1,653.66 = 849.48/x
  3. Step 3: Cross multiply
    1,197.24x = 1,653.66 × 849.48
  4. Step 4: Simplify right side
    1,197.24x = 1,404,751.10
  5. Step 5: Solve for x
    x = 1,404,751.10/1,197.24
  6. Step 6: Final answer
    x = 1,173.32

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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.