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Finding the Fourth Proportional to 949.89, 1,424.14 and 640.98

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Solution

The fourth proportional to 949.89, 1,424.14 and 640.98 is: 961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.89 : 1,424.14 = 640.98 : x
  2. Step 2: Convert to fraction form
    949.89/1,424.14 = 640.98/x
  3. Step 3: Cross multiply
    949.89x = 1,424.14 × 640.98
  4. Step 4: Simplify right side
    949.89x = 912,845.26
  5. Step 5: Solve for x
    x = 912,845.26/949.89
  6. Step 6: Final answer
    x = 961.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.