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Finding the Fourth Proportional to 692.67, 1,033.94 and 610.66

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Solution

The fourth proportional to 692.67, 1,033.94 and 610.66 is: 911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.67 : 1,033.94 = 610.66 : x
  2. Step 2: Convert to fraction form
    692.67/1,033.94 = 610.66/x
  3. Step 3: Cross multiply
    692.67x = 1,033.94 × 610.66
  4. Step 4: Simplify right side
    692.67x = 631,382.75
  5. Step 5: Solve for x
    x = 631,382.75/692.67
  6. Step 6: Final answer
    x = 911.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.