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Finding the Fourth Proportional to 950.18, 1,424.52 and 463.10

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Solution

The fourth proportional to 950.18, 1,424.52 and 463.10 is: 694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.18 : 1,424.52 = 463.10 : x
  2. Step 2: Convert to fraction form
    950.18/1,424.52 = 463.10/x
  3. Step 3: Cross multiply
    950.18x = 1,424.52 × 463.10
  4. Step 4: Simplify right side
    950.18x = 659,688.09
  5. Step 5: Solve for x
    x = 659,688.09/950.18
  6. Step 6: Final answer
    x = 694.28

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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.