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Finding the Fourth Proportional to 1,142.75, 1,576.94 and 700.56

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Solution

The fourth proportional to 1,142.75, 1,576.94 and 700.56 is: 966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.75 : 1,576.94 = 700.56 : x
  2. Step 2: Convert to fraction form
    1,142.75/1,576.94 = 700.56/x
  3. Step 3: Cross multiply
    1,142.75x = 1,576.94 × 700.56
  4. Step 4: Simplify right side
    1,142.75x = 1,104,737.58
  5. Step 5: Solve for x
    x = 1,104,737.58/1,142.75
  6. Step 6: Final answer
    x = 966.73

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Why These Related Problems?

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