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Finding the Fourth Proportional to 950.83, 1,423.50 and 641.62

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Solution

The fourth proportional to 950.83, 1,423.50 and 641.62 is: 960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.83 : 1,423.50 = 641.62 : x
  2. Step 2: Convert to fraction form
    950.83/1,423.50 = 641.62/x
  3. Step 3: Cross multiply
    950.83x = 1,423.50 × 641.62
  4. Step 4: Simplify right side
    950.83x = 913,346.07
  5. Step 5: Solve for x
    x = 913,346.07/950.83
  6. Step 6: Final answer
    x = 960.58

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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.