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Finding the Fourth Proportional to 949.72, 1,424.66 and 463.16

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Solution

The fourth proportional to 949.72, 1,424.66 and 463.16 is: 694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.72 : 1,424.66 = 463.16 : x
  2. Step 2: Convert to fraction form
    949.72/1,424.66 = 463.16/x
  3. Step 3: Cross multiply
    949.72x = 1,424.66 × 463.16
  4. Step 4: Simplify right side
    949.72x = 659,845.53
  5. Step 5: Solve for x
    x = 659,845.53/949.72
  6. Step 6: Final answer
    x = 694.78

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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.