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Finding the Fourth Proportional to 1,090.14, 1,633.60 and 505.32

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Solution

The fourth proportional to 1,090.14, 1,633.60 and 505.32 is: 757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.14 : 1,633.60 = 505.32 : x
  2. Step 2: Convert to fraction form
    1,090.14/1,633.60 = 505.32/x
  3. Step 3: Cross multiply
    1,090.14x = 1,633.60 × 505.32
  4. Step 4: Simplify right side
    1,090.14x = 825,490.75
  5. Step 5: Solve for x
    x = 825,490.75/1,090.14
  6. Step 6: Final answer
    x = 757.23

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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.