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Finding the Fourth Proportional to 779.98, 1,076.23 and 465.20

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Solution

The fourth proportional to 779.98, 1,076.23 and 465.20 is: 641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.98 : 1,076.23 = 465.20 : x
  2. Step 2: Convert to fraction form
    779.98/1,076.23 = 465.20/x
  3. Step 3: Cross multiply
    779.98x = 1,076.23 × 465.20
  4. Step 4: Simplify right side
    779.98x = 500,662.20
  5. Step 5: Solve for x
    x = 500,662.20/779.98
  6. Step 6: Final answer
    x = 641.89

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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.