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Finding the Fourth Proportional to 706.02, 1,057.67 and 533.80

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Solution

The fourth proportional to 706.02, 1,057.67 and 533.80 is: 799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.02 : 1,057.67 = 533.80 : x
  2. Step 2: Convert to fraction form
    706.02/1,057.67 = 533.80/x
  3. Step 3: Cross multiply
    706.02x = 1,057.67 × 533.80
  4. Step 4: Simplify right side
    706.02x = 564,584.25
  5. Step 5: Solve for x
    x = 564,584.25/706.02
  6. Step 6: Final answer
    x = 799.67

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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.