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Finding the Fourth Proportional to 776.64, 1,165.13 and 386.85

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Solution

The fourth proportional to 776.64, 1,165.13 and 386.85 is: 580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.64 : 1,165.13 = 386.85 : x
  2. Step 2: Convert to fraction form
    776.64/1,165.13 = 386.85/x
  3. Step 3: Cross multiply
    776.64x = 1,165.13 × 386.85
  4. Step 4: Simplify right side
    776.64x = 450,730.54
  5. Step 5: Solve for x
    x = 450,730.54/776.64
  6. Step 6: Final answer
    x = 580.36

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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.