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Finding the Fourth Proportional to 957, 1,434.51 and 409.53

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Solution

The fourth proportional to 957, 1,434.51 and 409.53 is: 613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    957 : 1,434.51 = 409.53 : x
  2. Step 2: Convert to fraction form
    957/1,434.51 = 409.53/x
  3. Step 3: Cross multiply
    957x = 1,434.51 × 409.53
  4. Step 4: Simplify right side
    957x = 587,474.88
  5. Step 5: Solve for x
    x = 587,474.88/957
  6. Step 6: Final answer
    x = 613.87

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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.