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Finding the Fourth Proportional to 1,216.22, 1,678.52 and 692.35

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Solution

The fourth proportional to 1,216.22, 1,678.52 and 692.35 is: 955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.22 : 1,678.52 = 692.35 : x
  2. Step 2: Convert to fraction form
    1,216.22/1,678.52 = 692.35/x
  3. Step 3: Cross multiply
    1,216.22x = 1,678.52 × 692.35
  4. Step 4: Simplify right side
    1,216.22x = 1,162,120.86
  5. Step 5: Solve for x
    x = 1,162,120.86/1,216.22
  6. Step 6: Final answer
    x = 955.52

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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.