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Finding the Fourth Proportional to 706.67, 1,059.25 and 459.57

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Solution

The fourth proportional to 706.67, 1,059.25 and 459.57 is: 688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.67 : 1,059.25 = 459.57 : x
  2. Step 2: Convert to fraction form
    706.67/1,059.25 = 459.57/x
  3. Step 3: Cross multiply
    706.67x = 1,059.25 × 459.57
  4. Step 4: Simplify right side
    706.67x = 486,804.50
  5. Step 5: Solve for x
    x = 486,804.50/706.67
  6. Step 6: Final answer
    x = 688.87

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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.