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Finding the Fourth Proportional to 1,414.96, 1,952.66 and 855.64

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Solution

The fourth proportional to 1,414.96, 1,952.66 and 855.64 is: 1,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.96 : 1,952.66 = 855.64 : x
  2. Step 2: Convert to fraction form
    1,414.96/1,952.66 = 855.64/x
  3. Step 3: Cross multiply
    1,414.96x = 1,952.66 × 855.64
  4. Step 4: Simplify right side
    1,414.96x = 1,670,774.00
  5. Step 5: Solve for x
    x = 1,670,774.00/1,414.96
  6. Step 6: Final answer
    x = 1,180.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.