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Finding the Fourth Proportional to 1,262.63, 1,742.82 and 738.83

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Solution

The fourth proportional to 1,262.63, 1,742.82 and 738.83 is: 1,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.63 : 1,742.82 = 738.83 : x
  2. Step 2: Convert to fraction form
    1,262.63/1,742.82 = 738.83/x
  3. Step 3: Cross multiply
    1,262.63x = 1,742.82 × 738.83
  4. Step 4: Simplify right side
    1,262.63x = 1,287,647.70
  5. Step 5: Solve for x
    x = 1,287,647.70/1,262.63
  6. Step 6: Final answer
    x = 1,019.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.