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Finding the Fourth Proportional to 949.54, 1,424.16 and 462.46

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Solution

The fourth proportional to 949.54, 1,424.16 and 462.46 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.54 : 1,424.16 = 462.46 : x
  2. Step 2: Convert to fraction form
    949.54/1,424.16 = 462.46/x
  3. Step 3: Cross multiply
    949.54x = 1,424.16 × 462.46
  4. Step 4: Simplify right side
    949.54x = 658,617.03
  5. Step 5: Solve for x
    x = 658,617.03/949.54
  6. Step 6: Final answer
    x = 693.62

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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.