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Finding the Fourth Proportional to 919.83, 1,269.42 and 521.52

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Solution

The fourth proportional to 919.83, 1,269.42 and 521.52 is: 719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.83 : 1,269.42 = 521.52 : x
  2. Step 2: Convert to fraction form
    919.83/1,269.42 = 521.52/x
  3. Step 3: Cross multiply
    919.83x = 1,269.42 × 521.52
  4. Step 4: Simplify right side
    919.83x = 662,027.92
  5. Step 5: Solve for x
    x = 662,027.92/919.83
  6. Step 6: Final answer
    x = 719.73

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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.