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Finding the Fourth Proportional to 805.00, 1,207.62 and 257.34

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Solution

The fourth proportional to 805.00, 1,207.62 and 257.34 is: 386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.00 : 1,207.62 = 257.34 : x
  2. Step 2: Convert to fraction form
    805.00/1,207.62 = 257.34/x
  3. Step 3: Cross multiply
    805.00x = 1,207.62 × 257.34
  4. Step 4: Simplify right side
    805.00x = 310,767.64
  5. Step 5: Solve for x
    x = 310,767.64/805.00
  6. Step 6: Final answer
    x = 386.05

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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.