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Finding the Fourth Proportional to 706.05, 1,057.23 and 487.35

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Solution

The fourth proportional to 706.05, 1,057.23 and 487.35 is: 729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.05 : 1,057.23 = 487.35 : x
  2. Step 2: Convert to fraction form
    706.05/1,057.23 = 487.35/x
  3. Step 3: Cross multiply
    706.05x = 1,057.23 × 487.35
  4. Step 4: Simplify right side
    706.05x = 515,241.04
  5. Step 5: Solve for x
    x = 515,241.04/706.05
  6. Step 6: Final answer
    x = 729.75

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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.