Home / 1,205.35-1,661.46-983.92

Finding the Fourth Proportional to 1,205.35, 1,661.46 and 983.92

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Solution

The fourth proportional to 1,205.35, 1,661.46 and 983.92 is: 1,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.35 : 1,661.46 = 983.92 : x
  2. Step 2: Convert to fraction form
    1,205.35/1,661.46 = 983.92/x
  3. Step 3: Cross multiply
    1,205.35x = 1,661.46 × 983.92
  4. Step 4: Simplify right side
    1,205.35x = 1,634,743.72
  5. Step 5: Solve for x
    x = 1,634,743.72/1,205.35
  6. Step 6: Final answer
    x = 1,356.24

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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.