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Finding the Fourth Proportional to 1,081.56, 1,623.10 and 734.92

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Solution

The fourth proportional to 1,081.56, 1,623.10 and 734.92 is: 1,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.56 : 1,623.10 = 734.92 : x
  2. Step 2: Convert to fraction form
    1,081.56/1,623.10 = 734.92/x
  3. Step 3: Cross multiply
    1,081.56x = 1,623.10 × 734.92
  4. Step 4: Simplify right side
    1,081.56x = 1,192,848.65
  5. Step 5: Solve for x
    x = 1,192,848.65/1,081.56
  6. Step 6: Final answer
    x = 1,102.90

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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.