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Finding the Fourth Proportional to 958.24, 1,428.98 and 949.49

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Solution

The fourth proportional to 958.24, 1,428.98 and 949.49 is: 1,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.24 : 1,428.98 = 949.49 : x
  2. Step 2: Convert to fraction form
    958.24/1,428.98 = 949.49/x
  3. Step 3: Cross multiply
    958.24x = 1,428.98 × 949.49
  4. Step 4: Simplify right side
    958.24x = 1,356,793.89
  5. Step 5: Solve for x
    x = 1,356,793.89/958.24
  6. Step 6: Final answer
    x = 1,415.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.