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Finding the Fourth Proportional to 941.20, 1,298.46 and 645.82

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Solution

The fourth proportional to 941.20, 1,298.46 and 645.82 is: 890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.20 : 1,298.46 = 645.82 : x
  2. Step 2: Convert to fraction form
    941.20/1,298.46 = 645.82/x
  3. Step 3: Cross multiply
    941.20x = 1,298.46 × 645.82
  4. Step 4: Simplify right side
    941.20x = 838,571.44
  5. Step 5: Solve for x
    x = 838,571.44/941.20
  6. Step 6: Final answer
    x = 890.96

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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.