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Finding the Fourth Proportional to 1,216.85, 1,679.20 and 692.86

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Solution

The fourth proportional to 1,216.85, 1,679.20 and 692.86 is: 956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.85 : 1,679.20 = 692.86 : x
  2. Step 2: Convert to fraction form
    1,216.85/1,679.20 = 692.86/x
  3. Step 3: Cross multiply
    1,216.85x = 1,679.20 × 692.86
  4. Step 4: Simplify right side
    1,216.85x = 1,163,450.51
  5. Step 5: Solve for x
    x = 1,163,450.51/1,216.85
  6. Step 6: Final answer
    x = 956.12

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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.