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Finding the Fourth Proportional to 1,163.78, 1,744.86 and 586.34

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Solution

The fourth proportional to 1,163.78, 1,744.86 and 586.34 is: 879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.78 : 1,744.86 = 586.34 : x
  2. Step 2: Convert to fraction form
    1,163.78/1,744.86 = 586.34/x
  3. Step 3: Cross multiply
    1,163.78x = 1,744.86 × 586.34
  4. Step 4: Simplify right side
    1,163.78x = 1,023,081.21
  5. Step 5: Solve for x
    x = 1,023,081.21/1,163.78
  6. Step 6: Final answer
    x = 879.10

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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.