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Finding the Fourth Proportional to 1,109.44, 1,663.72 and 492.72

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Solution

The fourth proportional to 1,109.44, 1,663.72 and 492.72 is: 738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.44 : 1,663.72 = 492.72 : x
  2. Step 2: Convert to fraction form
    1,109.44/1,663.72 = 492.72/x
  3. Step 3: Cross multiply
    1,109.44x = 1,663.72 × 492.72
  4. Step 4: Simplify right side
    1,109.44x = 819,748.12
  5. Step 5: Solve for x
    x = 819,748.12/1,109.44
  6. Step 6: Final answer
    x = 738.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.