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Finding the Fourth Proportional to 1,142.20, 1,576.26 and 670.43

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Solution

The fourth proportional to 1,142.20, 1,576.26 and 670.43 is: 925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.20 : 1,576.26 = 670.43 : x
  2. Step 2: Convert to fraction form
    1,142.20/1,576.26 = 670.43/x
  3. Step 3: Cross multiply
    1,142.20x = 1,576.26 × 670.43
  4. Step 4: Simplify right side
    1,142.20x = 1,056,771.99
  5. Step 5: Solve for x
    x = 1,056,771.99/1,142.20
  6. Step 6: Final answer
    x = 925.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.