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Finding the Fourth Proportional to 706.86, 975.24 and 444.96

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Solution

The fourth proportional to 706.86, 975.24 and 444.96 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.86 : 975.24 = 444.96 : x
  2. Step 2: Convert to fraction form
    706.86/975.24 = 444.96/x
  3. Step 3: Cross multiply
    706.86x = 975.24 × 444.96
  4. Step 4: Simplify right side
    706.86x = 433,942.79
  5. Step 5: Solve for x
    x = 433,942.79/706.86
  6. Step 6: Final answer
    x = 613.90

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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.