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Finding the Fourth Proportional to 1,291.62, 1,780.74 and 849.36

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Solution

The fourth proportional to 1,291.62, 1,780.74 and 849.36 is: 1,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.62 : 1,780.74 = 849.36 : x
  2. Step 2: Convert to fraction form
    1,291.62/1,780.74 = 849.36/x
  3. Step 3: Cross multiply
    1,291.62x = 1,780.74 × 849.36
  4. Step 4: Simplify right side
    1,291.62x = 1,512,489.33
  5. Step 5: Solve for x
    x = 1,512,489.33/1,291.62
  6. Step 6: Final answer
    x = 1,171.00

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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.