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Finding the Fourth Proportional to 1,287.40, 1,743.75 and 1,287.40

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Solution

The fourth proportional to 1,287.40, 1,743.75 and 1,287.40 is: 1,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.40 : 1,743.75 = 1,287.40 : x
  2. Step 2: Convert to fraction form
    1,287.40/1,743.75 = 1,287.40/x
  3. Step 3: Cross multiply
    1,287.40x = 1,743.75 × 1,287.40
  4. Step 4: Simplify right side
    1,287.40x = 2,244,903.75
  5. Step 5: Solve for x
    x = 2,244,903.75/1,287.40
  6. Step 6: Final answer
    x = 1,743.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.