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Finding the Fourth Proportional to 949.16, 1,424.21 and 462.20

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Solution

The fourth proportional to 949.16, 1,424.21 and 462.20 is: 693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.16 : 1,424.21 = 462.20 : x
  2. Step 2: Convert to fraction form
    949.16/1,424.21 = 462.20/x
  3. Step 3: Cross multiply
    949.16x = 1,424.21 × 462.20
  4. Step 4: Simplify right side
    949.16x = 658,260.43
  5. Step 5: Solve for x
    x = 658,260.43/949.16
  6. Step 6: Final answer
    x = 693.52

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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.