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Finding the Fourth Proportional to 1,162.51, 1,743.73 and 340.81

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Solution

The fourth proportional to 1,162.51, 1,743.73 and 340.81 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.51 : 1,743.73 = 340.81 : x
  2. Step 2: Convert to fraction form
    1,162.51/1,743.73 = 340.81/x
  3. Step 3: Cross multiply
    1,162.51x = 1,743.73 × 340.81
  4. Step 4: Simplify right side
    1,162.51x = 594,275.41
  5. Step 5: Solve for x
    x = 594,275.41/1,162.51
  6. Step 6: Final answer
    x = 511.20

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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.