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Finding the Fourth Proportional to 1,370.34, 2,055.76 and 445.94

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Solution

The fourth proportional to 1,370.34, 2,055.76 and 445.94 is: 668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.34 : 2,055.76 = 445.94 : x
  2. Step 2: Convert to fraction form
    1,370.34/2,055.76 = 445.94/x
  3. Step 3: Cross multiply
    1,370.34x = 2,055.76 × 445.94
  4. Step 4: Simplify right side
    1,370.34x = 916,745.61
  5. Step 5: Solve for x
    x = 916,745.61/1,370.34
  6. Step 6: Final answer
    x = 668.99

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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.