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Finding the Fourth Proportional to 1,142.88, 1,576.80 and 700.62

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Solution

The fourth proportional to 1,142.88, 1,576.80 and 700.62 is: 966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.88 : 1,576.80 = 700.62 : x
  2. Step 2: Convert to fraction form
    1,142.88/1,576.80 = 700.62/x
  3. Step 3: Cross multiply
    1,142.88x = 1,576.80 × 700.62
  4. Step 4: Simplify right side
    1,142.88x = 1,104,737.62
  5. Step 5: Solve for x
    x = 1,104,737.62/1,142.88
  6. Step 6: Final answer
    x = 966.63

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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.