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Finding the Fourth Proportional to 706.98, 1,059.95 and 475.29

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Solution

The fourth proportional to 706.98, 1,059.95 and 475.29 is: 712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.98 : 1,059.95 = 475.29 : x
  2. Step 2: Convert to fraction form
    706.98/1,059.95 = 475.29/x
  3. Step 3: Cross multiply
    706.98x = 1,059.95 × 475.29
  4. Step 4: Simplify right side
    706.98x = 503,783.93
  5. Step 5: Solve for x
    x = 503,783.93/706.98
  6. Step 6: Final answer
    x = 712.59

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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.