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Finding the Fourth Proportional to 1,162.44, 1,742.32 and 536.43

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Solution

The fourth proportional to 1,162.44, 1,742.32 and 536.43 is: 804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.44 : 1,742.32 = 536.43 : x
  2. Step 2: Convert to fraction form
    1,162.44/1,742.32 = 536.43/x
  3. Step 3: Cross multiply
    1,162.44x = 1,742.32 × 536.43
  4. Step 4: Simplify right side
    1,162.44x = 934,631.38
  5. Step 5: Solve for x
    x = 934,631.38/1,162.44
  6. Step 6: Final answer
    x = 804.03

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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.