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Finding the Fourth Proportional to 706.69, 1,059.84 and 500.65

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Solution

The fourth proportional to 706.69, 1,059.84 and 500.65 is: 750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.69 : 1,059.84 = 500.65 : x
  2. Step 2: Convert to fraction form
    706.69/1,059.84 = 500.65/x
  3. Step 3: Cross multiply
    706.69x = 1,059.84 × 500.65
  4. Step 4: Simplify right side
    706.69x = 530,603.60
  5. Step 5: Solve for x
    x = 530,603.60/706.69
  6. Step 6: Final answer
    x = 750.83

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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.