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Finding the Fourth Proportional to 919.77, 1,269.56 and 733.20

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Solution

The fourth proportional to 919.77, 1,269.56 and 733.20 is: 1,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.77 : 1,269.56 = 733.20 : x
  2. Step 2: Convert to fraction form
    919.77/1,269.56 = 733.20/x
  3. Step 3: Cross multiply
    919.77x = 1,269.56 × 733.20
  4. Step 4: Simplify right side
    919.77x = 930,837.73
  5. Step 5: Solve for x
    x = 930,837.73/919.77
  6. Step 6: Final answer
    x = 1,012.03

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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.