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Finding the Fourth Proportional to 1,090.19, 1,635.28 and 310.26

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Solution

The fourth proportional to 1,090.19, 1,635.28 and 310.26 is: 465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.19 : 1,635.28 = 310.26 : x
  2. Step 2: Convert to fraction form
    1,090.19/1,635.28 = 310.26/x
  3. Step 3: Cross multiply
    1,090.19x = 1,635.28 × 310.26
  4. Step 4: Simplify right side
    1,090.19x = 507,361.97
  5. Step 5: Solve for x
    x = 507,361.97/1,090.19
  6. Step 6: Final answer
    x = 465.39

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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.