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Finding the Fourth Proportional to 1,131.22, 1,696.29 and 692.74

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Solution

The fourth proportional to 1,131.22, 1,696.29 and 692.74 is: 1,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.22 : 1,696.29 = 692.74 : x
  2. Step 2: Convert to fraction form
    1,131.22/1,696.29 = 692.74/x
  3. Step 3: Cross multiply
    1,131.22x = 1,696.29 × 692.74
  4. Step 4: Simplify right side
    1,131.22x = 1,175,087.93
  5. Step 5: Solve for x
    x = 1,175,087.93/1,131.22
  6. Step 6: Final answer
    x = 1,038.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.