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Finding the Fourth Proportional to 1,162.13, 1,743.21 and 392.63

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Solution

The fourth proportional to 1,162.13, 1,743.21 and 392.63 is: 588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.13 : 1,743.21 = 392.63 : x
  2. Step 2: Convert to fraction form
    1,162.13/1,743.21 = 392.63/x
  3. Step 3: Cross multiply
    1,162.13x = 1,743.21 × 392.63
  4. Step 4: Simplify right side
    1,162.13x = 684,427.83
  5. Step 5: Solve for x
    x = 684,427.83/1,162.13
  6. Step 6: Final answer
    x = 588.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.