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Finding the Fourth Proportional to 706.20, 1,059.30 and 514.68

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Solution

The fourth proportional to 706.20, 1,059.30 and 514.68 is: 772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.20 : 1,059.30 = 514.68 : x
  2. Step 2: Convert to fraction form
    706.20/1,059.30 = 514.68/x
  3. Step 3: Cross multiply
    706.20x = 1,059.30 × 514.68
  4. Step 4: Simplify right side
    706.20x = 545,200.52
  5. Step 5: Solve for x
    x = 545,200.52/706.20
  6. Step 6: Final answer
    x = 772.02

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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.