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Finding the Fourth Proportional to 1,162.58, 1,743.46 and 340.63

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Solution

The fourth proportional to 1,162.58, 1,743.46 and 340.63 is: 510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.58 : 1,743.46 = 340.63 : x
  2. Step 2: Convert to fraction form
    1,162.58/1,743.46 = 340.63/x
  3. Step 3: Cross multiply
    1,162.58x = 1,743.46 × 340.63
  4. Step 4: Simplify right side
    1,162.58x = 593,869.57
  5. Step 5: Solve for x
    x = 593,869.57/1,162.58
  6. Step 6: Final answer
    x = 510.82

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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.