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Finding the Fourth Proportional to 1,205.22, 1,661.85 and 983.49

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Solution

The fourth proportional to 1,205.22, 1,661.85 and 983.49 is: 1,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.22 : 1,661.85 = 983.49 : x
  2. Step 2: Convert to fraction form
    1,205.22/1,661.85 = 983.49/x
  3. Step 3: Cross multiply
    1,205.22x = 1,661.85 × 983.49
  4. Step 4: Simplify right side
    1,205.22x = 1,634,412.86
  5. Step 5: Solve for x
    x = 1,634,412.86/1,205.22
  6. Step 6: Final answer
    x = 1,356.11

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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.