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Finding the Fourth Proportional to 1,090.58, 1,635.80 and 441.14

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Solution

The fourth proportional to 1,090.58, 1,635.80 and 441.14 is: 661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.58 : 1,635.80 = 441.14 : x
  2. Step 2: Convert to fraction form
    1,090.58/1,635.80 = 441.14/x
  3. Step 3: Cross multiply
    1,090.58x = 1,635.80 × 441.14
  4. Step 4: Simplify right side
    1,090.58x = 721,616.81
  5. Step 5: Solve for x
    x = 721,616.81/1,090.58
  6. Step 6: Final answer
    x = 661.68

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Why These Related Problems?

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