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Finding the Fourth Proportional to 950.70, 1,422.39 and 708.30

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Solution

The fourth proportional to 950.70, 1,422.39 and 708.30 is: 1,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.70 : 1,422.39 = 708.30 : x
  2. Step 2: Convert to fraction form
    950.70/1,422.39 = 708.30/x
  3. Step 3: Cross multiply
    950.70x = 1,422.39 × 708.30
  4. Step 4: Simplify right side
    950.70x = 1,007,478.84
  5. Step 5: Solve for x
    x = 1,007,478.84/950.70
  6. Step 6: Final answer
    x = 1,059.72

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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.