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Finding the Fourth Proportional to 777.37, 1,165.92 and 257.29

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Solution

The fourth proportional to 777.37, 1,165.92 and 257.29 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.37 : 1,165.92 = 257.29 : x
  2. Step 2: Convert to fraction form
    777.37/1,165.92 = 257.29/x
  3. Step 3: Cross multiply
    777.37x = 1,165.92 × 257.29
  4. Step 4: Simplify right side
    777.37x = 299,979.56
  5. Step 5: Solve for x
    x = 299,979.56/777.37
  6. Step 6: Final answer
    x = 385.89

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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.