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Finding the Fourth Proportional to 701.93, 968.46 and 407.09

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Solution

The fourth proportional to 701.93, 968.46 and 407.09 is: 561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.93 : 968.46 = 407.09 : x
  2. Step 2: Convert to fraction form
    701.93/968.46 = 407.09/x
  3. Step 3: Cross multiply
    701.93x = 968.46 × 407.09
  4. Step 4: Simplify right side
    701.93x = 394,251.28
  5. Step 5: Solve for x
    x = 394,251.28/701.93
  6. Step 6: Final answer
    x = 561.67

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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.