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Finding the Fourth Proportional to 1,163.03, 1,604.80 and 665.60

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Solution

The fourth proportional to 1,163.03, 1,604.80 and 665.60 is: 918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.03 : 1,604.80 = 665.60 : x
  2. Step 2: Convert to fraction form
    1,163.03/1,604.80 = 665.60/x
  3. Step 3: Cross multiply
    1,163.03x = 1,604.80 × 665.60
  4. Step 4: Simplify right side
    1,163.03x = 1,068,154.88
  5. Step 5: Solve for x
    x = 1,068,154.88/1,163.03
  6. Step 6: Final answer
    x = 918.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.