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Finding the Fourth Proportional to 640.13, 958.83 and 537.62

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Solution

The fourth proportional to 640.13, 958.83 and 537.62 is: 805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.13 : 958.83 = 537.62 : x
  2. Step 2: Convert to fraction form
    640.13/958.83 = 537.62/x
  3. Step 3: Cross multiply
    640.13x = 958.83 × 537.62
  4. Step 4: Simplify right side
    640.13x = 515,486.18
  5. Step 5: Solve for x
    x = 515,486.18/640.13
  6. Step 6: Final answer
    x = 805.28

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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.