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Finding the Fourth Proportional to 779.91, 1,076.31 and 465.09

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Solution

The fourth proportional to 779.91, 1,076.31 and 465.09 is: 641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.91 : 1,076.31 = 465.09 : x
  2. Step 2: Convert to fraction form
    779.91/1,076.31 = 465.09/x
  3. Step 3: Cross multiply
    779.91x = 1,076.31 × 465.09
  4. Step 4: Simplify right side
    779.91x = 500,581.02
  5. Step 5: Solve for x
    x = 500,581.02/779.91
  6. Step 6: Final answer
    x = 641.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.