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Finding the Fourth Proportional to 1,149.85, 1,586.79 and 751.78

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Solution

The fourth proportional to 1,149.85, 1,586.79 and 751.78 is: 1,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.85 : 1,586.79 = 751.78 : x
  2. Step 2: Convert to fraction form
    1,149.85/1,586.79 = 751.78/x
  3. Step 3: Cross multiply
    1,149.85x = 1,586.79 × 751.78
  4. Step 4: Simplify right side
    1,149.85x = 1,192,918.97
  5. Step 5: Solve for x
    x = 1,192,918.97/1,149.85
  6. Step 6: Final answer
    x = 1,037.46

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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.