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Finding the Fourth Proportional to 1,096.96, 1,645.58 and 366.62

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Solution

The fourth proportional to 1,096.96, 1,645.58 and 366.62 is: 549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.96 : 1,645.58 = 366.62 : x
  2. Step 2: Convert to fraction form
    1,096.96/1,645.58 = 366.62/x
  3. Step 3: Cross multiply
    1,096.96x = 1,645.58 × 366.62
  4. Step 4: Simplify right side
    1,096.96x = 603,302.54
  5. Step 5: Solve for x
    x = 603,302.54/1,096.96
  6. Step 6: Final answer
    x = 549.98

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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.