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Finding the Fourth Proportional to 680.70, 933.67 and 641.01

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Solution

The fourth proportional to 680.70, 933.67 and 641.01 is: 879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.70 : 933.67 = 641.01 : x
  2. Step 2: Convert to fraction form
    680.70/933.67 = 641.01/x
  3. Step 3: Cross multiply
    680.70x = 933.67 × 641.01
  4. Step 4: Simplify right side
    680.70x = 598,491.81
  5. Step 5: Solve for x
    x = 598,491.81/680.70
  6. Step 6: Final answer
    x = 879.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.