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Finding the Fourth Proportional to 706.43, 1,059.34 and 377.29

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Solution

The fourth proportional to 706.43, 1,059.34 and 377.29 is: 565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.43 : 1,059.34 = 377.29 : x
  2. Step 2: Convert to fraction form
    706.43/1,059.34 = 377.29/x
  3. Step 3: Cross multiply
    706.43x = 1,059.34 × 377.29
  4. Step 4: Simplify right side
    706.43x = 399,676.50
  5. Step 5: Solve for x
    x = 399,676.50/706.43
  6. Step 6: Final answer
    x = 565.77

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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.