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Finding the Fourth Proportional to 919.83, 1,379.88 and 433.02

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Solution

The fourth proportional to 919.83, 1,379.88 and 433.02 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.83 : 1,379.88 = 433.02 : x
  2. Step 2: Convert to fraction form
    919.83/1,379.88 = 433.02/x
  3. Step 3: Cross multiply
    919.83x = 1,379.88 × 433.02
  4. Step 4: Simplify right side
    919.83x = 597,515.64
  5. Step 5: Solve for x
    x = 597,515.64/919.83
  6. Step 6: Final answer
    x = 649.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.