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Finding the Fourth Proportional to 1,370.33, 2,055.63 and 445.85

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Solution

The fourth proportional to 1,370.33, 2,055.63 and 445.85 is: 668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.33 : 2,055.63 = 445.85 : x
  2. Step 2: Convert to fraction form
    1,370.33/2,055.63 = 445.85/x
  3. Step 3: Cross multiply
    1,370.33x = 2,055.63 × 445.85
  4. Step 4: Simplify right side
    1,370.33x = 916,492.36
  5. Step 5: Solve for x
    x = 916,492.36/1,370.33
  6. Step 6: Final answer
    x = 668.81

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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.