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Finding the Fourth Proportional to 701.50, 968.14 and 391

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Solution

The fourth proportional to 701.50, 968.14 and 391 is: 539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.50 : 968.14 = 391 : x
  2. Step 2: Convert to fraction form
    701.50/968.14 = 391/x
  3. Step 3: Cross multiply
    701.50x = 968.14 × 391
  4. Step 4: Simplify right side
    701.50x = 378,542.74
  5. Step 5: Solve for x
    x = 378,542.74/701.50
  6. Step 6: Final answer
    x = 539.62

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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.