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Finding the Fourth Proportional to 776.69, 1,165.29 and 386.83

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Solution

The fourth proportional to 776.69, 1,165.29 and 386.83 is: 580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.69 : 1,165.29 = 386.83 : x
  2. Step 2: Convert to fraction form
    776.69/1,165.29 = 386.83/x
  3. Step 3: Cross multiply
    776.69x = 1,165.29 × 386.83
  4. Step 4: Simplify right side
    776.69x = 450,762.58
  5. Step 5: Solve for x
    x = 450,762.58/776.69
  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.