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Finding the Fourth Proportional to 1,576.80, 2,365.17 and 406.80

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Solution

The fourth proportional to 1,576.80, 2,365.17 and 406.80 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.80 : 2,365.17 = 406.80 : x
  2. Step 2: Convert to fraction form
    1,576.80/2,365.17 = 406.80/x
  3. Step 3: Cross multiply
    1,576.80x = 2,365.17 × 406.80
  4. Step 4: Simplify right side
    1,576.80x = 962,151.16
  5. Step 5: Solve for x
    x = 962,151.16/1,576.80
  6. Step 6: Final answer
    x = 610.19

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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.