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Finding the Fourth Proportional to 1,433.62, 2,150.43 and 393.64

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Solution

The fourth proportional to 1,433.62, 2,150.43 and 393.64 is: 590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.62 : 2,150.43 = 393.64 : x
  2. Step 2: Convert to fraction form
    1,433.62/2,150.43 = 393.64/x
  3. Step 3: Cross multiply
    1,433.62x = 2,150.43 × 393.64
  4. Step 4: Simplify right side
    1,433.62x = 846,490.87
  5. Step 5: Solve for x
    x = 846,490.87/1,433.62
  6. Step 6: Final answer
    x = 590.46

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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.