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Finding the Fourth Proportional to 1,162.40, 1,743.19 and 382.19

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Solution

The fourth proportional to 1,162.40, 1,743.19 and 382.19 is: 573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.40 : 1,743.19 = 382.19 : x
  2. Step 2: Convert to fraction form
    1,162.40/1,743.19 = 382.19/x
  3. Step 3: Cross multiply
    1,162.40x = 1,743.19 × 382.19
  4. Step 4: Simplify right side
    1,162.40x = 666,220.11
  5. Step 5: Solve for x
    x = 666,220.11/1,162.40
  6. Step 6: Final answer
    x = 573.14

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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.