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Finding the Fourth Proportional to 706.56, 1,059.21 and 336.14

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Solution

The fourth proportional to 706.56, 1,059.21 and 336.14 is: 503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.56 : 1,059.21 = 336.14 : x
  2. Step 2: Convert to fraction form
    706.56/1,059.21 = 336.14/x
  3. Step 3: Cross multiply
    706.56x = 1,059.21 × 336.14
  4. Step 4: Simplify right side
    706.56x = 356,037.55
  5. Step 5: Solve for x
    x = 356,037.55/706.56
  6. Step 6: Final answer
    x = 503.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.