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Finding the Fourth Proportional to 1,162.46, 1,743.78 and 382.16

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Solution

The fourth proportional to 1,162.46, 1,743.78 and 382.16 is: 573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.46 : 1,743.78 = 382.16 : x
  2. Step 2: Convert to fraction form
    1,162.46/1,743.78 = 382.16/x
  3. Step 3: Cross multiply
    1,162.46x = 1,743.78 × 382.16
  4. Step 4: Simplify right side
    1,162.46x = 666,402.96
  5. Step 5: Solve for x
    x = 666,402.96/1,162.46
  6. Step 6: Final answer
    x = 573.27

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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.