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Finding the Fourth Proportional to 1,109.11, 1,663.67 and 492.43

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Solution

The fourth proportional to 1,109.11, 1,663.67 and 492.43 is: 738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.11 : 1,663.67 = 492.43 : x
  2. Step 2: Convert to fraction form
    1,109.11/1,663.67 = 492.43/x
  3. Step 3: Cross multiply
    1,109.11x = 1,663.67 × 492.43
  4. Step 4: Simplify right side
    1,109.11x = 819,241.02
  5. Step 5: Solve for x
    x = 819,241.02/1,109.11
  6. Step 6: Final answer
    x = 738.65

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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.