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Finding the Fourth Proportional to 1,162.63, 1,743.81 and 393.13

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Solution

The fourth proportional to 1,162.63, 1,743.81 and 393.13 is: 589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.63 : 1,743.81 = 393.13 : x
  2. Step 2: Convert to fraction form
    1,162.63/1,743.81 = 393.13/x
  3. Step 3: Cross multiply
    1,162.63x = 1,743.81 × 393.13
  4. Step 4: Simplify right side
    1,162.63x = 685,544.03
  5. Step 5: Solve for x
    x = 685,544.03/1,162.63
  6. Step 6: Final answer
    x = 589.65

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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.