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Finding the Fourth Proportional to 1,163.79, 1,744.61 and 393.75

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Solution

The fourth proportional to 1,163.79, 1,744.61 and 393.75 is: 590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.79 : 1,744.61 = 393.75 : x
  2. Step 2: Convert to fraction form
    1,163.79/1,744.61 = 393.75/x
  3. Step 3: Cross multiply
    1,163.79x = 1,744.61 × 393.75
  4. Step 4: Simplify right side
    1,163.79x = 686,938.22
  5. Step 5: Solve for x
    x = 686,938.22/1,163.79
  6. Step 6: Final answer
    x = 590.26

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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.