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Finding the Fourth Proportional to 1,775.82, 2,663.43 and 801.70

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Solution

The fourth proportional to 1,775.82, 2,663.43 and 801.70 is: 1,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.82 : 2,663.43 = 801.70 : x
  2. Step 2: Convert to fraction form
    1,775.82/2,663.43 = 801.70/x
  3. Step 3: Cross multiply
    1,775.82x = 2,663.43 × 801.70
  4. Step 4: Simplify right side
    1,775.82x = 2,135,266.68
  5. Step 5: Solve for x
    x = 2,135,266.68/1,775.82
  6. Step 6: Final answer
    x = 1,202.41

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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.