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Finding the Fourth Proportional to 950.20, 1,423.02 and 486.76

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Solution

The fourth proportional to 950.20, 1,423.02 and 486.76 is: 728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.20 : 1,423.02 = 486.76 : x
  2. Step 2: Convert to fraction form
    950.20/1,423.02 = 486.76/x
  3. Step 3: Cross multiply
    950.20x = 1,423.02 × 486.76
  4. Step 4: Simplify right side
    950.20x = 692,669.22
  5. Step 5: Solve for x
    x = 692,669.22/950.20
  6. Step 6: Final answer
    x = 728.97

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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.