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Finding the Fourth Proportional to 1,589.36, 2,383.08 and 663.86

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Solution

The fourth proportional to 1,589.36, 2,383.08 and 663.86 is: 995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.36 : 2,383.08 = 663.86 : x
  2. Step 2: Convert to fraction form
    1,589.36/2,383.08 = 663.86/x
  3. Step 3: Cross multiply
    1,589.36x = 2,383.08 × 663.86
  4. Step 4: Simplify right side
    1,589.36x = 1,582,031.49
  5. Step 5: Solve for x
    x = 1,582,031.49/1,589.36
  6. Step 6: Final answer
    x = 995.39

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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.