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Finding the Fourth Proportional to 1,260.86, 1,739.97 and 701.30

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Solution

The fourth proportional to 1,260.86, 1,739.97 and 701.30 is: 967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.86 : 1,739.97 = 701.30 : x
  2. Step 2: Convert to fraction form
    1,260.86/1,739.97 = 701.30/x
  3. Step 3: Cross multiply
    1,260.86x = 1,739.97 × 701.30
  4. Step 4: Simplify right side
    1,260.86x = 1,220,232.26
  5. Step 5: Solve for x
    x = 1,220,232.26/1,260.86
  6. Step 6: Final answer
    x = 967.78

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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.