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Finding the Fourth Proportional to 842.66, 1,263.74 and 257.61

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Solution

The fourth proportional to 842.66, 1,263.74 and 257.61 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.66 : 1,263.74 = 257.61 : x
  2. Step 2: Convert to fraction form
    842.66/1,263.74 = 257.61/x
  3. Step 3: Cross multiply
    842.66x = 1,263.74 × 257.61
  4. Step 4: Simplify right side
    842.66x = 325,550.77
  5. Step 5: Solve for x
    x = 325,550.77/842.66
  6. Step 6: Final answer
    x = 386.34

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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.