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Finding the Fourth Proportional to 1,205.27, 1,663.74 and 785.73

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Solution

The fourth proportional to 1,205.27, 1,663.74 and 785.73 is: 1,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.27 : 1,663.74 = 785.73 : x
  2. Step 2: Convert to fraction form
    1,205.27/1,663.74 = 785.73/x
  3. Step 3: Cross multiply
    1,205.27x = 1,663.74 × 785.73
  4. Step 4: Simplify right side
    1,205.27x = 1,307,250.43
  5. Step 5: Solve for x
    x = 1,307,250.43/1,205.27
  6. Step 6: Final answer
    x = 1,084.61

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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.