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Finding the Fourth Proportional to 1,093.74, 1,642.23 and 445.74

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Solution

The fourth proportional to 1,093.74, 1,642.23 and 445.74 is: 669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.74 : 1,642.23 = 445.74 : x
  2. Step 2: Convert to fraction form
    1,093.74/1,642.23 = 445.74/x
  3. Step 3: Cross multiply
    1,093.74x = 1,642.23 × 445.74
  4. Step 4: Simplify right side
    1,093.74x = 732,007.60
  5. Step 5: Solve for x
    x = 732,007.60/1,093.74
  6. Step 6: Final answer
    x = 669.27

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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.