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Finding the Fourth Proportional to 1,180.26, 1,768.93 and 486.49

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Solution

The fourth proportional to 1,180.26, 1,768.93 and 486.49 is: 729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.26 : 1,768.93 = 486.49 : x
  2. Step 2: Convert to fraction form
    1,180.26/1,768.93 = 486.49/x
  3. Step 3: Cross multiply
    1,180.26x = 1,768.93 × 486.49
  4. Step 4: Simplify right side
    1,180.26x = 860,566.76
  5. Step 5: Solve for x
    x = 860,566.76/1,180.26
  6. Step 6: Final answer
    x = 729.13

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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.