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Finding the Fourth Proportional to 1,205.98, 1,661.68 and 812.32

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Solution

The fourth proportional to 1,205.98, 1,661.68 and 812.32 is: 1,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.98 : 1,661.68 = 812.32 : x
  2. Step 2: Convert to fraction form
    1,205.98/1,661.68 = 812.32/x
  3. Step 3: Cross multiply
    1,205.98x = 1,661.68 × 812.32
  4. Step 4: Simplify right side
    1,205.98x = 1,349,815.90
  5. Step 5: Solve for x
    x = 1,349,815.90/1,205.98
  6. Step 6: Final answer
    x = 1,119.27

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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.