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Finding the Fourth Proportional to 1,182.54, 1,774.36 and 605.82

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Solution

The fourth proportional to 1,182.54, 1,774.36 and 605.82 is: 909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.54 : 1,774.36 = 605.82 : x
  2. Step 2: Convert to fraction form
    1,182.54/1,774.36 = 605.82/x
  3. Step 3: Cross multiply
    1,182.54x = 1,774.36 × 605.82
  4. Step 4: Simplify right side
    1,182.54x = 1,074,942.78
  5. Step 5: Solve for x
    x = 1,074,942.78/1,182.54
  6. Step 6: Final answer
    x = 909.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.