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Finding the Fourth Proportional to 1,370.21, 2,055.51 and 445.47

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Solution

The fourth proportional to 1,370.21, 2,055.51 and 445.47 is: 668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.21 : 2,055.51 = 445.47 : x
  2. Step 2: Convert to fraction form
    1,370.21/2,055.51 = 445.47/x
  3. Step 3: Cross multiply
    1,370.21x = 2,055.51 × 445.47
  4. Step 4: Simplify right side
    1,370.21x = 915,668.04
  5. Step 5: Solve for x
    x = 915,668.04/1,370.21
  6. Step 6: Final answer
    x = 668.27

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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.