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Finding the Fourth Proportional to 1,090.65, 1,633.08 and 744.69

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Solution

The fourth proportional to 1,090.65, 1,633.08 and 744.69 is: 1,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.65 : 1,633.08 = 744.69 : x
  2. Step 2: Convert to fraction form
    1,090.65/1,633.08 = 744.69/x
  3. Step 3: Cross multiply
    1,090.65x = 1,633.08 × 744.69
  4. Step 4: Simplify right side
    1,090.65x = 1,216,138.35
  5. Step 5: Solve for x
    x = 1,216,138.35/1,090.65
  6. Step 6: Final answer
    x = 1,115.06

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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.