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Finding the Fourth Proportional to 1,141.75, 1,709.66 and 978.27

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Solution

The fourth proportional to 1,141.75, 1,709.66 and 978.27 is: 1,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.75 : 1,709.66 = 978.27 : x
  2. Step 2: Convert to fraction form
    1,141.75/1,709.66 = 978.27/x
  3. Step 3: Cross multiply
    1,141.75x = 1,709.66 × 978.27
  4. Step 4: Simplify right side
    1,141.75x = 1,672,509.97
  5. Step 5: Solve for x
    x = 1,672,509.97/1,141.75
  6. Step 6: Final answer
    x = 1,464.86

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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.