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Finding the Fourth Proportional to 805.09, 1,207.80 and 257.26

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Solution

The fourth proportional to 805.09, 1,207.80 and 257.26 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.09 : 1,207.80 = 257.26 : x
  2. Step 2: Convert to fraction form
    805.09/1,207.80 = 257.26/x
  3. Step 3: Cross multiply
    805.09x = 1,207.80 × 257.26
  4. Step 4: Simplify right side
    805.09x = 310,718.63
  5. Step 5: Solve for x
    x = 310,718.63/805.09
  6. Step 6: Final answer
    x = 385.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.