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Finding the Fourth Proportional to 701.83, 968.67 and 465.79

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Solution

The fourth proportional to 701.83, 968.67 and 465.79 is: 642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.83 : 968.67 = 465.79 : x
  2. Step 2: Convert to fraction form
    701.83/968.67 = 465.79/x
  3. Step 3: Cross multiply
    701.83x = 968.67 × 465.79
  4. Step 4: Simplify right side
    701.83x = 451,196.80
  5. Step 5: Solve for x
    x = 451,196.80/701.83
  6. Step 6: Final answer
    x = 642.89

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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.