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Finding the Fourth Proportional to 706.54, 975 and 391.79

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Solution

The fourth proportional to 706.54, 975 and 391.79 is: 540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.54 : 975 = 391.79 : x
  2. Step 2: Convert to fraction form
    706.54/975 = 391.79/x
  3. Step 3: Cross multiply
    706.54x = 975 × 391.79
  4. Step 4: Simplify right side
    706.54x = 381,997.69
  5. Step 5: Solve for x
    x = 381,997.69/706.54
  6. Step 6: Final answer
    x = 540.66

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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.