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Finding the Fourth Proportional to 1,096.50, 1,643.94 and 365.64

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Solution

The fourth proportional to 1,096.50, 1,643.94 and 365.64 is: 548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.50 : 1,643.94 = 365.64 : x
  2. Step 2: Convert to fraction form
    1,096.50/1,643.94 = 365.64/x
  3. Step 3: Cross multiply
    1,096.50x = 1,643.94 × 365.64
  4. Step 4: Simplify right side
    1,096.50x = 601,090.22
  5. Step 5: Solve for x
    x = 601,090.22/1,096.50
  6. Step 6: Final answer
    x = 548.19

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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.