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Finding the Fourth Proportional to 1,135.29, 1,566.36 and 692.73

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Solution

The fourth proportional to 1,135.29, 1,566.36 and 692.73 is: 955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.29 : 1,566.36 = 692.73 : x
  2. Step 2: Convert to fraction form
    1,135.29/1,566.36 = 692.73/x
  3. Step 3: Cross multiply
    1,135.29x = 1,566.36 × 692.73
  4. Step 4: Simplify right side
    1,135.29x = 1,085,064.56
  5. Step 5: Solve for x
    x = 1,085,064.56/1,135.29
  6. Step 6: Final answer
    x = 955.76

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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.