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Finding the Fourth Proportional to 1,090.07, 1,635.15 and 440.75

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Solution

The fourth proportional to 1,090.07, 1,635.15 and 440.75 is: 661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.07 : 1,635.15 = 440.75 : x
  2. Step 2: Convert to fraction form
    1,090.07/1,635.15 = 440.75/x
  3. Step 3: Cross multiply
    1,090.07x = 1,635.15 × 440.75
  4. Step 4: Simplify right side
    1,090.07x = 720,692.36
  5. Step 5: Solve for x
    x = 720,692.36/1,090.07
  6. Step 6: Final answer
    x = 661.15

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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.