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Finding the Fourth Proportional to 1,182.75, 1,774.26 and 605.76

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Solution

The fourth proportional to 1,182.75, 1,774.26 and 605.76 is: 908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.75 : 1,774.26 = 605.76 : x
  2. Step 2: Convert to fraction form
    1,182.75/1,774.26 = 605.76/x
  3. Step 3: Cross multiply
    1,182.75x = 1,774.26 × 605.76
  4. Step 4: Simplify right side
    1,182.75x = 1,074,775.74
  5. Step 5: Solve for x
    x = 1,074,775.74/1,182.75
  6. Step 6: Final answer
    x = 908.71

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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.