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Finding the Fourth Proportional to 1,210.22, 1,671.09 and 986.19

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Solution

The fourth proportional to 1,210.22, 1,671.09 and 986.19 is: 1,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.22 : 1,671.09 = 986.19 : x
  2. Step 2: Convert to fraction form
    1,210.22/1,671.09 = 986.19/x
  3. Step 3: Cross multiply
    1,210.22x = 1,671.09 × 986.19
  4. Step 4: Simplify right side
    1,210.22x = 1,648,012.25
  5. Step 5: Solve for x
    x = 1,648,012.25/1,210.22
  6. Step 6: Final answer
    x = 1,361.75

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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.