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Finding the Fourth Proportional to 1,775.89, 2,664.17 and 605.84

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Solution

The fourth proportional to 1,775.89, 2,664.17 and 605.84 is: 908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.89 : 2,664.17 = 605.84 : x
  2. Step 2: Convert to fraction form
    1,775.89/2,664.17 = 605.84/x
  3. Step 3: Cross multiply
    1,775.89x = 2,664.17 × 605.84
  4. Step 4: Simplify right side
    1,775.89x = 1,614,060.75
  5. Step 5: Solve for x
    x = 1,614,060.75/1,775.89
  6. Step 6: Final answer
    x = 908.87

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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.