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Finding the Fourth Proportional to 1,268.04, 1,748.94 and 743.64

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Solution

The fourth proportional to 1,268.04, 1,748.94 and 743.64 is: 1,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.04 : 1,748.94 = 743.64 : x
  2. Step 2: Convert to fraction form
    1,268.04/1,748.94 = 743.64/x
  3. Step 3: Cross multiply
    1,268.04x = 1,748.94 × 743.64
  4. Step 4: Simplify right side
    1,268.04x = 1,300,581.74
  5. Step 5: Solve for x
    x = 1,300,581.74/1,268.04
  6. Step 6: Final answer
    x = 1,025.66

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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.