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Finding the Fourth Proportional to 1,250.48, 1,876.94 and 955.23

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Solution

The fourth proportional to 1,250.48, 1,876.94 and 955.23 is: 1,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.48 : 1,876.94 = 955.23 : x
  2. Step 2: Convert to fraction form
    1,250.48/1,876.94 = 955.23/x
  3. Step 3: Cross multiply
    1,250.48x = 1,876.94 × 955.23
  4. Step 4: Simplify right side
    1,250.48x = 1,792,904.62
  5. Step 5: Solve for x
    x = 1,792,904.62/1,250.48
  6. Step 6: Final answer
    x = 1,433.78

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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.