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Finding the Fourth Proportional to 1,589.03, 2,383.02 and 766.79

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Solution

The fourth proportional to 1,589.03, 2,383.02 and 766.79 is: 1,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.03 : 2,383.02 = 766.79 : x
  2. Step 2: Convert to fraction form
    1,589.03/2,383.02 = 766.79/x
  3. Step 3: Cross multiply
    1,589.03x = 2,383.02 × 766.79
  4. Step 4: Simplify right side
    1,589.03x = 1,827,263.99
  5. Step 5: Solve for x
    x = 1,827,263.99/1,589.03
  6. Step 6: Final answer
    x = 1,149.93

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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.