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Finding the Fourth Proportional to 1,614.96, 2,422.05 and 574.98

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Solution

The fourth proportional to 1,614.96, 2,422.05 and 574.98 is: 862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.96 : 2,422.05 = 574.98 : x
  2. Step 2: Convert to fraction form
    1,614.96/2,422.05 = 574.98/x
  3. Step 3: Cross multiply
    1,614.96x = 2,422.05 × 574.98
  4. Step 4: Simplify right side
    1,614.96x = 1,392,630.31
  5. Step 5: Solve for x
    x = 1,392,630.31/1,614.96
  6. Step 6: Final answer
    x = 862.33

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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.