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Finding the Fourth Proportional to 1,131.97, 1,560.31 and 689.04

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Solution

The fourth proportional to 1,131.97, 1,560.31 and 689.04 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.97 : 1,560.31 = 689.04 : x
  2. Step 2: Convert to fraction form
    1,131.97/1,560.31 = 689.04/x
  3. Step 3: Cross multiply
    1,131.97x = 1,560.31 × 689.04
  4. Step 4: Simplify right side
    1,131.97x = 1,075,116.00
  5. Step 5: Solve for x
    x = 1,075,116.00/1,131.97
  6. Step 6: Final answer
    x = 949.77

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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.