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Finding the Fourth Proportional to 957.35, 1,434.82 and 408.89

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Solution

The fourth proportional to 957.35, 1,434.82 and 408.89 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.35 : 1,434.82 = 408.89 : x
  2. Step 2: Convert to fraction form
    957.35/1,434.82 = 408.89/x
  3. Step 3: Cross multiply
    957.35x = 1,434.82 × 408.89
  4. Step 4: Simplify right side
    957.35x = 586,676.38
  5. Step 5: Solve for x
    x = 586,676.38/957.35
  6. Step 6: Final answer
    x = 612.82

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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.