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Finding the Fourth Proportional to 1,123.88, 1,685.78 and 1,090.04

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Solution

The fourth proportional to 1,123.88, 1,685.78 and 1,090.04 is: 1,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.88 : 1,685.78 = 1,090.04 : x
  2. Step 2: Convert to fraction form
    1,123.88/1,685.78 = 1,090.04/x
  3. Step 3: Cross multiply
    1,123.88x = 1,685.78 × 1,090.04
  4. Step 4: Simplify right side
    1,123.88x = 1,837,553.75
  5. Step 5: Solve for x
    x = 1,837,553.75/1,123.88
  6. Step 6: Final answer
    x = 1,635.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.