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Finding the Fourth Proportional to 1,614.76, 2,422.54 and 460.50

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Solution

The fourth proportional to 1,614.76, 2,422.54 and 460.50 is: 690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.76 : 2,422.54 = 460.50 : x
  2. Step 2: Convert to fraction form
    1,614.76/2,422.54 = 460.50/x
  3. Step 3: Cross multiply
    1,614.76x = 2,422.54 × 460.50
  4. Step 4: Simplify right side
    1,614.76x = 1,115,579.67
  5. Step 5: Solve for x
    x = 1,115,579.67/1,614.76
  6. Step 6: Final answer
    x = 690.86

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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.