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Finding the Fourth Proportional to 949.08, 1,424.94 and 487.18

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Solution

The fourth proportional to 949.08, 1,424.94 and 487.18 is: 731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.08 : 1,424.94 = 487.18 : x
  2. Step 2: Convert to fraction form
    949.08/1,424.94 = 487.18/x
  3. Step 3: Cross multiply
    949.08x = 1,424.94 × 487.18
  4. Step 4: Simplify right side
    949.08x = 694,202.27
  5. Step 5: Solve for x
    x = 694,202.27/949.08
  6. Step 6: Final answer
    x = 731.45

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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.