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Finding the Fourth Proportional to 961, 1,438.23 and 614.58

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Solution

The fourth proportional to 961, 1,438.23 and 614.58 is: 919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    961 : 1,438.23 = 614.58 : x
  2. Step 2: Convert to fraction form
    961/1,438.23 = 614.58/x
  3. Step 3: Cross multiply
    961x = 1,438.23 × 614.58
  4. Step 4: Simplify right side
    961x = 883,907.39
  5. Step 5: Solve for x
    x = 883,907.39/961
  6. Step 6: Final answer
    x = 919.78

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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.