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Finding the Fourth Proportional to 1,277.06, 1,914.23 and 728.06

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Solution

The fourth proportional to 1,277.06, 1,914.23 and 728.06 is: 1,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.06 : 1,914.23 = 728.06 : x
  2. Step 2: Convert to fraction form
    1,277.06/1,914.23 = 728.06/x
  3. Step 3: Cross multiply
    1,277.06x = 1,914.23 × 728.06
  4. Step 4: Simplify right side
    1,277.06x = 1,393,680.90
  5. Step 5: Solve for x
    x = 1,393,680.90/1,277.06
  6. Step 6: Final answer
    x = 1,091.32

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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.