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Finding the Fourth Proportional to 969.50, 1,337.24 and 620.03

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Solution

The fourth proportional to 969.50, 1,337.24 and 620.03 is: 855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.50 : 1,337.24 = 620.03 : x
  2. Step 2: Convert to fraction form
    969.50/1,337.24 = 620.03/x
  3. Step 3: Cross multiply
    969.50x = 1,337.24 × 620.03
  4. Step 4: Simplify right side
    969.50x = 829,119.13
  5. Step 5: Solve for x
    x = 829,119.13/969.50
  6. Step 6: Final answer
    x = 855.21

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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.