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Finding the Fourth Proportional to 1,162.60, 1,743.98 and 382.68

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Solution

The fourth proportional to 1,162.60, 1,743.98 and 382.68 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.60 : 1,743.98 = 382.68 : x
  2. Step 2: Convert to fraction form
    1,162.60/1,743.98 = 382.68/x
  3. Step 3: Cross multiply
    1,162.60x = 1,743.98 × 382.68
  4. Step 4: Simplify right side
    1,162.60x = 667,386.27
  5. Step 5: Solve for x
    x = 667,386.27/1,162.60
  6. Step 6: Final answer
    x = 574.05

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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.