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Finding the Fourth Proportional to 1,234.92, 1,852.11 and 713.82

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Solution

The fourth proportional to 1,234.92, 1,852.11 and 713.82 is: 1,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.92 : 1,852.11 = 713.82 : x
  2. Step 2: Convert to fraction form
    1,234.92/1,852.11 = 713.82/x
  3. Step 3: Cross multiply
    1,234.92x = 1,852.11 × 713.82
  4. Step 4: Simplify right side
    1,234.92x = 1,322,073.16
  5. Step 5: Solve for x
    x = 1,322,073.16/1,234.92
  6. Step 6: Final answer
    x = 1,070.57

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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.