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Finding the Fourth Proportional to 776.82, 1,165.40 and 256.86

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Solution

The fourth proportional to 776.82, 1,165.40 and 256.86 is: 385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.82 : 1,165.40 = 256.86 : x
  2. Step 2: Convert to fraction form
    776.82/1,165.40 = 256.86/x
  3. Step 3: Cross multiply
    776.82x = 1,165.40 × 256.86
  4. Step 4: Simplify right side
    776.82x = 299,343.36
  5. Step 5: Solve for x
    x = 299,343.36/776.82
  6. Step 6: Final answer
    x = 385.34

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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.