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Finding the Fourth Proportional to 1,206.76, 1,664.92 and 764.60

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Solution

The fourth proportional to 1,206.76, 1,664.92 and 764.60 is: 1,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.76 : 1,664.92 = 764.60 : x
  2. Step 2: Convert to fraction form
    1,206.76/1,664.92 = 764.60/x
  3. Step 3: Cross multiply
    1,206.76x = 1,664.92 × 764.60
  4. Step 4: Simplify right side
    1,206.76x = 1,272,987.60
  5. Step 5: Solve for x
    x = 1,272,987.60/1,206.76
  6. Step 6: Final answer
    x = 1,054.88

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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.