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Finding the Fourth Proportional to 958.07, 1,437.11 and 409.97

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Solution

The fourth proportional to 958.07, 1,437.11 and 409.97 is: 614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.07 : 1,437.11 = 409.97 : x
  2. Step 2: Convert to fraction form
    958.07/1,437.11 = 409.97/x
  3. Step 3: Cross multiply
    958.07x = 1,437.11 × 409.97
  4. Step 4: Simplify right side
    958.07x = 589,171.99
  5. Step 5: Solve for x
    x = 589,171.99/958.07
  6. Step 6: Final answer
    x = 614.96

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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.