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Finding the Fourth Proportional to 1,096.85, 1,645.40 and 366.49

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Solution

The fourth proportional to 1,096.85, 1,645.40 and 366.49 is: 549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.85 : 1,645.40 = 366.49 : x
  2. Step 2: Convert to fraction form
    1,096.85/1,645.40 = 366.49/x
  3. Step 3: Cross multiply
    1,096.85x = 1,645.40 × 366.49
  4. Step 4: Simplify right side
    1,096.85x = 603,022.65
  5. Step 5: Solve for x
    x = 603,022.65/1,096.85
  6. Step 6: Final answer
    x = 549.78

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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.