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Finding the Fourth Proportional to 803.72, 1,109.94 and 692.57

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Solution

The fourth proportional to 803.72, 1,109.94 and 692.57 is: 956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.72 : 1,109.94 = 692.57 : x
  2. Step 2: Convert to fraction form
    803.72/1,109.94 = 692.57/x
  3. Step 3: Cross multiply
    803.72x = 1,109.94 × 692.57
  4. Step 4: Simplify right side
    803.72x = 768,711.15
  5. Step 5: Solve for x
    x = 768,711.15/803.72
  6. Step 6: Final answer
    x = 956.44

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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.