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Finding the Fourth Proportional to 1,262.85, 1,742.63 and 738.92

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Solution

The fourth proportional to 1,262.85, 1,742.63 and 738.92 is: 1,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.85 : 1,742.63 = 738.92 : x
  2. Step 2: Convert to fraction form
    1,262.85/1,742.63 = 738.92/x
  3. Step 3: Cross multiply
    1,262.85x = 1,742.63 × 738.92
  4. Step 4: Simplify right side
    1,262.85x = 1,287,651.75
  5. Step 5: Solve for x
    x = 1,287,651.75/1,262.85
  6. Step 6: Final answer
    x = 1,019.64

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Why These Related Problems?

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