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Finding the Fourth Proportional to 706.20, 973.86 and 506.69

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Solution

The fourth proportional to 706.20, 973.86 and 506.69 is: 698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.20 : 973.86 = 506.69 : x
  2. Step 2: Convert to fraction form
    706.20/973.86 = 506.69/x
  3. Step 3: Cross multiply
    706.20x = 973.86 × 506.69
  4. Step 4: Simplify right side
    706.20x = 493,437.72
  5. Step 5: Solve for x
    x = 493,437.72/706.20
  6. Step 6: Final answer
    x = 698.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.