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Finding the Fourth Proportional to 1,163.47, 1,744.54 and 470.47

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Solution

The fourth proportional to 1,163.47, 1,744.54 and 470.47 is: 705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.47 : 1,744.54 = 470.47 : x
  2. Step 2: Convert to fraction form
    1,163.47/1,744.54 = 470.47/x
  3. Step 3: Cross multiply
    1,163.47x = 1,744.54 × 470.47
  4. Step 4: Simplify right side
    1,163.47x = 820,753.73
  5. Step 5: Solve for x
    x = 820,753.73/1,163.47
  6. Step 6: Final answer
    x = 705.44

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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.