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Finding the Fourth Proportional to 1,090.79, 1,636.38 and 360.39

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Solution

The fourth proportional to 1,090.79, 1,636.38 and 360.39 is: 540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.79 : 1,636.38 = 360.39 : x
  2. Step 2: Convert to fraction form
    1,090.79/1,636.38 = 360.39/x
  3. Step 3: Cross multiply
    1,090.79x = 1,636.38 × 360.39
  4. Step 4: Simplify right side
    1,090.79x = 589,734.99
  5. Step 5: Solve for x
    x = 589,734.99/1,090.79
  6. Step 6: Final answer
    x = 540.65

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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.