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Finding the Fourth Proportional to 706.05, 974.43 and 411.48

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Solution

The fourth proportional to 706.05, 974.43 and 411.48 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.05 : 974.43 = 411.48 : x
  2. Step 2: Convert to fraction form
    706.05/974.43 = 411.48/x
  3. Step 3: Cross multiply
    706.05x = 974.43 × 411.48
  4. Step 4: Simplify right side
    706.05x = 400,958.46
  5. Step 5: Solve for x
    x = 400,958.46/706.05
  6. Step 6: Final answer
    x = 567.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.