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Finding the Fourth Proportional to 1,216.88, 1,680.84 and 931.55

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Solution

The fourth proportional to 1,216.88, 1,680.84 and 931.55 is: 1,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.88 : 1,680.84 = 931.55 : x
  2. Step 2: Convert to fraction form
    1,216.88/1,680.84 = 931.55/x
  3. Step 3: Cross multiply
    1,216.88x = 1,680.84 × 931.55
  4. Step 4: Simplify right side
    1,216.88x = 1,565,786.50
  5. Step 5: Solve for x
    x = 1,565,786.50/1,216.88
  6. Step 6: Final answer
    x = 1,286.72

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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.