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Finding the Fourth Proportional to 1,142.10, 1,576.17 and 676.44

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Solution

The fourth proportional to 1,142.10, 1,576.17 and 676.44 is: 933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.10 : 1,576.17 = 676.44 : x
  2. Step 2: Convert to fraction form
    1,142.10/1,576.17 = 676.44/x
  3. Step 3: Cross multiply
    1,142.10x = 1,576.17 × 676.44
  4. Step 4: Simplify right side
    1,142.10x = 1,066,184.43
  5. Step 5: Solve for x
    x = 1,066,184.43/1,142.10
  6. Step 6: Final answer
    x = 933.53

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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.