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Finding the Fourth Proportional to 958.97, 1,437.06 and 410.38

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Solution

The fourth proportional to 958.97, 1,437.06 and 410.38 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.97 : 1,437.06 = 410.38 : x
  2. Step 2: Convert to fraction form
    958.97/1,437.06 = 410.38/x
  3. Step 3: Cross multiply
    958.97x = 1,437.06 × 410.38
  4. Step 4: Simplify right side
    958.97x = 589,740.68
  5. Step 5: Solve for x
    x = 589,740.68/958.97
  6. Step 6: Final answer
    x = 614.97

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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.