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Finding the Fourth Proportional to 1,163.28, 1,744.02 and 586.02

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Solution

The fourth proportional to 1,163.28, 1,744.02 and 586.02 is: 878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.28 : 1,744.02 = 586.02 : x
  2. Step 2: Convert to fraction form
    1,163.28/1,744.02 = 586.02/x
  3. Step 3: Cross multiply
    1,163.28x = 1,744.02 × 586.02
  4. Step 4: Simplify right side
    1,163.28x = 1,022,030.60
  5. Step 5: Solve for x
    x = 1,022,030.60/1,163.28
  6. Step 6: Final answer
    x = 878.58

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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.