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Finding the Fourth Proportional to 776.96, 1,165.49 and 256.94

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Solution

The fourth proportional to 776.96, 1,165.49 and 256.94 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.96 : 1,165.49 = 256.94 : x
  2. Step 2: Convert to fraction form
    776.96/1,165.49 = 256.94/x
  3. Step 3: Cross multiply
    776.96x = 1,165.49 × 256.94
  4. Step 4: Simplify right side
    776.96x = 299,459.22
  5. Step 5: Solve for x
    x = 299,459.22/776.96
  6. Step 6: Final answer
    x = 385.42

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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.