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Finding the Fourth Proportional to 1,208.57, 1,814.00 and 775.97

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Solution

The fourth proportional to 1,208.57, 1,814.00 and 775.97 is: 1,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.57 : 1,814.00 = 775.97 : x
  2. Step 2: Convert to fraction form
    1,208.57/1,814.00 = 775.97/x
  3. Step 3: Cross multiply
    1,208.57x = 1,814.00 × 775.97
  4. Step 4: Simplify right side
    1,208.57x = 1,407,605.70
  5. Step 5: Solve for x
    x = 1,407,605.70/1,208.57
  6. Step 6: Final answer
    x = 1,164.69

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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.