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Finding the Fourth Proportional to 1,614.94, 2,422.41 and 460.69

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Solution

The fourth proportional to 1,614.94, 2,422.41 and 460.69 is: 691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.94 : 2,422.41 = 460.69 : x
  2. Step 2: Convert to fraction form
    1,614.94/2,422.41 = 460.69/x
  3. Step 3: Cross multiply
    1,614.94x = 2,422.41 × 460.69
  4. Step 4: Simplify right side
    1,614.94x = 1,115,972.28
  5. Step 5: Solve for x
    x = 1,115,972.28/1,614.94
  6. Step 6: Final answer
    x = 691.03

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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.