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Finding the Fourth Proportional to 1,096.07, 1,643.49 and 365.26

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Solution

The fourth proportional to 1,096.07, 1,643.49 and 365.26 is: 547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.07 : 1,643.49 = 365.26 : x
  2. Step 2: Convert to fraction form
    1,096.07/1,643.49 = 365.26/x
  3. Step 3: Cross multiply
    1,096.07x = 1,643.49 × 365.26
  4. Step 4: Simplify right side
    1,096.07x = 600,301.16
  5. Step 5: Solve for x
    x = 600,301.16/1,096.07
  6. Step 6: Final answer
    x = 547.69

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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.