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Finding the Fourth Proportional to 1,095.05, 1,642.17 and 445.57

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Solution

The fourth proportional to 1,095.05, 1,642.17 and 445.57 is: 668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.05 : 1,642.17 = 445.57 : x
  2. Step 2: Convert to fraction form
    1,095.05/1,642.17 = 445.57/x
  3. Step 3: Cross multiply
    1,095.05x = 1,642.17 × 445.57
  4. Step 4: Simplify right side
    1,095.05x = 731,701.69
  5. Step 5: Solve for x
    x = 731,701.69/1,095.05
  6. Step 6: Final answer
    x = 668.19

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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.