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Finding the Fourth Proportional to 1,095.06, 1,642.16 and 445.56

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Solution

The fourth proportional to 1,095.06, 1,642.16 and 445.56 is: 668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.06 : 1,642.16 = 445.56 : x
  2. Step 2: Convert to fraction form
    1,095.06/1,642.16 = 445.56/x
  3. Step 3: Cross multiply
    1,095.06x = 1,642.16 × 445.56
  4. Step 4: Simplify right side
    1,095.06x = 731,680.81
  5. Step 5: Solve for x
    x = 731,680.81/1,095.06
  6. Step 6: Final answer
    x = 668.17

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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.