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Finding the Fourth Proportional to 1,266.73, 1,897.99 and 778.73

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Solution

The fourth proportional to 1,266.73, 1,897.99 and 778.73 is: 1,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.73 : 1,897.99 = 778.73 : x
  2. Step 2: Convert to fraction form
    1,266.73/1,897.99 = 778.73/x
  3. Step 3: Cross multiply
    1,266.73x = 1,897.99 × 778.73
  4. Step 4: Simplify right side
    1,266.73x = 1,478,021.75
  5. Step 5: Solve for x
    x = 1,478,021.75/1,266.73
  6. Step 6: Final answer
    x = 1,166.80

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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.