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Finding the Fourth Proportional to 776.84, 1,165.34 and 256.82

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Solution

The fourth proportional to 776.84, 1,165.34 and 256.82 is: 385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.84 : 1,165.34 = 256.82 : x
  2. Step 2: Convert to fraction form
    776.84/1,165.34 = 256.82/x
  3. Step 3: Cross multiply
    776.84x = 1,165.34 × 256.82
  4. Step 4: Simplify right side
    776.84x = 299,282.62
  5. Step 5: Solve for x
    x = 299,282.62/776.84
  6. Step 6: Final answer
    x = 385.26

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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.