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Finding the Fourth Proportional to 1,199.55, 1,796.90 and 765.80

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Solution

The fourth proportional to 1,199.55, 1,796.90 and 765.80 is: 1,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.55 : 1,796.90 = 765.80 : x
  2. Step 2: Convert to fraction form
    1,199.55/1,796.90 = 765.80/x
  3. Step 3: Cross multiply
    1,199.55x = 1,796.90 × 765.80
  4. Step 4: Simplify right side
    1,199.55x = 1,376,053.21
  5. Step 5: Solve for x
    x = 1,376,053.21/1,199.55
  6. Step 6: Final answer
    x = 1,147.14

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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.