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Finding the Fourth Proportional to 1,210.49, 1,669.84 and 986.77

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Solution

The fourth proportional to 1,210.49, 1,669.84 and 986.77 is: 1,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.49 : 1,669.84 = 986.77 : x
  2. Step 2: Convert to fraction form
    1,210.49/1,669.84 = 986.77/x
  3. Step 3: Cross multiply
    1,210.49x = 1,669.84 × 986.77
  4. Step 4: Simplify right side
    1,210.49x = 1,647,748.02
  5. Step 5: Solve for x
    x = 1,647,748.02/1,210.49
  6. Step 6: Final answer
    x = 1,361.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.