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Finding the Fourth Proportional to 1,422.94, 2,134.50 and 435.73

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Solution

The fourth proportional to 1,422.94, 2,134.50 and 435.73 is: 653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.94 : 2,134.50 = 435.73 : x
  2. Step 2: Convert to fraction form
    1,422.94/2,134.50 = 435.73/x
  3. Step 3: Cross multiply
    1,422.94x = 2,134.50 × 435.73
  4. Step 4: Simplify right side
    1,422.94x = 930,065.69
  5. Step 5: Solve for x
    x = 930,065.69/1,422.94
  6. Step 6: Final answer
    x = 653.62

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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.