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Finding the Fourth Proportional to 700.41, 965.06 and 600.81

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Solution

The fourth proportional to 700.41, 965.06 and 600.81 is: 827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.41 : 965.06 = 600.81 : x
  2. Step 2: Convert to fraction form
    700.41/965.06 = 600.81/x
  3. Step 3: Cross multiply
    700.41x = 965.06 × 600.81
  4. Step 4: Simplify right side
    700.41x = 579,814.69
  5. Step 5: Solve for x
    x = 579,814.69/700.41
  6. Step 6: Final answer
    x = 827.82

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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.