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Finding the Fourth Proportional to 1,291.76, 1,782.91 and 849.70

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Solution

The fourth proportional to 1,291.76, 1,782.91 and 849.70 is: 1,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.76 : 1,782.91 = 849.70 : x
  2. Step 2: Convert to fraction form
    1,291.76/1,782.91 = 849.70/x
  3. Step 3: Cross multiply
    1,291.76x = 1,782.91 × 849.70
  4. Step 4: Simplify right side
    1,291.76x = 1,514,932.05
  5. Step 5: Solve for x
    x = 1,514,932.05/1,291.76
  6. Step 6: Final answer
    x = 1,172.77

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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.