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Finding the Fourth Proportional to 1,162.65, 1,743.67 and 546.24

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Solution

The fourth proportional to 1,162.65, 1,743.67 and 546.24 is: 819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.65 : 1,743.67 = 546.24 : x
  2. Step 2: Convert to fraction form
    1,162.65/1,743.67 = 546.24/x
  3. Step 3: Cross multiply
    1,162.65x = 1,743.67 × 546.24
  4. Step 4: Simplify right side
    1,162.65x = 952,459.57
  5. Step 5: Solve for x
    x = 952,459.57/1,162.65
  6. Step 6: Final answer
    x = 819.21

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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.