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Finding the Fourth Proportional to 1,149.96, 1,586.78 and 757.24

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Solution

The fourth proportional to 1,149.96, 1,586.78 and 757.24 is: 1,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.96 : 1,586.78 = 757.24 : x
  2. Step 2: Convert to fraction form
    1,149.96/1,586.78 = 757.24/x
  3. Step 3: Cross multiply
    1,149.96x = 1,586.78 × 757.24
  4. Step 4: Simplify right side
    1,149.96x = 1,201,573.29
  5. Step 5: Solve for x
    x = 1,201,573.29/1,149.96
  6. Step 6: Final answer
    x = 1,044.88

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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.