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Finding the Fourth Proportional to 1,102.06, 1,520.62 and 866.04

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Solution

The fourth proportional to 1,102.06, 1,520.62 and 866.04 is: 1,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,520.62 = 866.04 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,520.62 = 866.04/x
  3. Step 3: Cross multiply
    1,102.06x = 1,520.62 × 866.04
  4. Step 4: Simplify right side
    1,102.06x = 1,316,917.74
  5. Step 5: Solve for x
    x = 1,316,917.74/1,102.06
  6. Step 6: Final answer
    x = 1,194.96

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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.