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Finding the Fourth Proportional to 752.58, 1,122.26 and 692.75

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Solution

The fourth proportional to 752.58, 1,122.26 and 692.75 is: 1,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.58 : 1,122.26 = 692.75 : x
  2. Step 2: Convert to fraction form
    752.58/1,122.26 = 692.75/x
  3. Step 3: Cross multiply
    752.58x = 1,122.26 × 692.75
  4. Step 4: Simplify right side
    752.58x = 777,445.62
  5. Step 5: Solve for x
    x = 777,445.62/752.58
  6. Step 6: Final answer
    x = 1,033.04

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