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Finding the Fourth Proportional to 1,290.62, 1,780.83 and 849.57

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Solution

The fourth proportional to 1,290.62, 1,780.83 and 849.57 is: 1,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.62 : 1,780.83 = 849.57 : x
  2. Step 2: Convert to fraction form
    1,290.62/1,780.83 = 849.57/x
  3. Step 3: Cross multiply
    1,290.62x = 1,780.83 × 849.57
  4. Step 4: Simplify right side
    1,290.62x = 1,512,939.74
  5. Step 5: Solve for x
    x = 1,512,939.74/1,290.62
  6. Step 6: Final answer
    x = 1,172.26

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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.