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Finding the Fourth Proportional to 1,162.61, 1,743.21 and 546.50

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Solution

The fourth proportional to 1,162.61, 1,743.21 and 546.50 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.61 : 1,743.21 = 546.50 : x
  2. Step 2: Convert to fraction form
    1,162.61/1,743.21 = 546.50/x
  3. Step 3: Cross multiply
    1,162.61x = 1,743.21 × 546.50
  4. Step 4: Simplify right side
    1,162.61x = 952,664.27
  5. Step 5: Solve for x
    x = 952,664.27/1,162.61
  6. Step 6: Final answer
    x = 819.42

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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.