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Finding the Fourth Proportional to 1,182.26, 1,774.26 and 442.55

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Solution

The fourth proportional to 1,182.26, 1,774.26 and 442.55 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.26 : 1,774.26 = 442.55 : x
  2. Step 2: Convert to fraction form
    1,182.26/1,774.26 = 442.55/x
  3. Step 3: Cross multiply
    1,182.26x = 1,774.26 × 442.55
  4. Step 4: Simplify right side
    1,182.26x = 785,189.89
  5. Step 5: Solve for x
    x = 785,189.89/1,182.26
  6. Step 6: Final answer
    x = 664.15

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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.