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Finding the Fourth Proportional to 1,589.13, 2,383.70 and 665.33

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Solution

The fourth proportional to 1,589.13, 2,383.70 and 665.33 is: 997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.13 : 2,383.70 = 665.33 : x
  2. Step 2: Convert to fraction form
    1,589.13/2,383.70 = 665.33/x
  3. Step 3: Cross multiply
    1,589.13x = 2,383.70 × 665.33
  4. Step 4: Simplify right side
    1,589.13x = 1,585,931.88
  5. Step 5: Solve for x
    x = 1,585,931.88/1,589.13
  6. Step 6: Final answer
    x = 997.99

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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.