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Finding the Fourth Proportional to 950.65, 1,424.97 and 402.53

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Solution

The fourth proportional to 950.65, 1,424.97 and 402.53 is: 603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.65 : 1,424.97 = 402.53 : x
  2. Step 2: Convert to fraction form
    950.65/1,424.97 = 402.53/x
  3. Step 3: Cross multiply
    950.65x = 1,424.97 × 402.53
  4. Step 4: Simplify right side
    950.65x = 573,586.05
  5. Step 5: Solve for x
    x = 573,586.05/950.65
  6. Step 6: Final answer
    x = 603.36

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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.