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Finding the Fourth Proportional to 706.37, 974.77 and 391.63

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Solution

The fourth proportional to 706.37, 974.77 and 391.63 is: 540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.37 : 974.77 = 391.63 : x
  2. Step 2: Convert to fraction form
    706.37/974.77 = 391.63/x
  3. Step 3: Cross multiply
    706.37x = 974.77 × 391.63
  4. Step 4: Simplify right side
    706.37x = 381,746.01
  5. Step 5: Solve for x
    x = 381,746.01/706.37
  6. Step 6: Final answer
    x = 540.43

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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.