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Finding the Fourth Proportional to 1,416.93, 1,955.34 and 827.57

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Solution

The fourth proportional to 1,416.93, 1,955.34 and 827.57 is: 1,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.93 : 1,955.34 = 827.57 : x
  2. Step 2: Convert to fraction form
    1,416.93/1,955.34 = 827.57/x
  3. Step 3: Cross multiply
    1,416.93x = 1,955.34 × 827.57
  4. Step 4: Simplify right side
    1,416.93x = 1,618,170.95
  5. Step 5: Solve for x
    x = 1,618,170.95/1,416.93
  6. Step 6: Final answer
    x = 1,142.03

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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.