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Finding the Fourth Proportional to 1,193.76, 1,786.37 and 865.08

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Solution

The fourth proportional to 1,193.76, 1,786.37 and 865.08 is: 1,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.76 : 1,786.37 = 865.08 : x
  2. Step 2: Convert to fraction form
    1,193.76/1,786.37 = 865.08/x
  3. Step 3: Cross multiply
    1,193.76x = 1,786.37 × 865.08
  4. Step 4: Simplify right side
    1,193.76x = 1,545,348.63
  5. Step 5: Solve for x
    x = 1,545,348.63/1,193.76
  6. Step 6: Final answer
    x = 1,294.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.