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Finding the Fourth Proportional to 702.73, 1,054.26 and 215.77

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Solution

The fourth proportional to 702.73, 1,054.26 and 215.77 is: 323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.73 : 1,054.26 = 215.77 : x
  2. Step 2: Convert to fraction form
    702.73/1,054.26 = 215.77/x
  3. Step 3: Cross multiply
    702.73x = 1,054.26 × 215.77
  4. Step 4: Simplify right side
    702.73x = 227,477.68
  5. Step 5: Solve for x
    x = 227,477.68/702.73
  6. Step 6: Final answer
    x = 323.71

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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.