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Finding the Fourth Proportional to 1,119.80, 1,671.23 and 1,090.64

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Solution

The fourth proportional to 1,119.80, 1,671.23 and 1,090.64 is: 1,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.80 : 1,671.23 = 1,090.64 : x
  2. Step 2: Convert to fraction form
    1,119.80/1,671.23 = 1,090.64/x
  3. Step 3: Cross multiply
    1,119.80x = 1,671.23 × 1,090.64
  4. Step 4: Simplify right side
    1,119.80x = 1,822,706.83
  5. Step 5: Solve for x
    x = 1,822,706.83/1,119.80
  6. Step 6: Final answer
    x = 1,627.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.