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Finding the Fourth Proportional to 776.63, 1,164.65 and 386.51

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Solution

The fourth proportional to 776.63, 1,164.65 and 386.51 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.63 : 1,164.65 = 386.51 : x
  2. Step 2: Convert to fraction form
    776.63/1,164.65 = 386.51/x
  3. Step 3: Cross multiply
    776.63x = 1,164.65 × 386.51
  4. Step 4: Simplify right side
    776.63x = 450,141.12
  5. Step 5: Solve for x
    x = 450,141.12/776.63
  6. Step 6: Final answer
    x = 579.61

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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.