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Finding the Fourth Proportional to 950.24, 1,423.54 and 538.15

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Solution

The fourth proportional to 950.24, 1,423.54 and 538.15 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.24 : 1,423.54 = 538.15 : x
  2. Step 2: Convert to fraction form
    950.24/1,423.54 = 538.15/x
  3. Step 3: Cross multiply
    950.24x = 1,423.54 × 538.15
  4. Step 4: Simplify right side
    950.24x = 766,078.05
  5. Step 5: Solve for x
    x = 766,078.05/950.24
  6. Step 6: Final answer
    x = 806.19

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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.