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Finding the Fourth Proportional to 1,221.27, 1,684.86 and 848.55

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Solution

The fourth proportional to 1,221.27, 1,684.86 and 848.55 is: 1,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.27 : 1,684.86 = 848.55 : x
  2. Step 2: Convert to fraction form
    1,221.27/1,684.86 = 848.55/x
  3. Step 3: Cross multiply
    1,221.27x = 1,684.86 × 848.55
  4. Step 4: Simplify right side
    1,221.27x = 1,429,687.95
  5. Step 5: Solve for x
    x = 1,429,687.95/1,221.27
  6. Step 6: Final answer
    x = 1,170.66

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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.