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Finding the Fourth Proportional to 1,060.96, 1,462.60 and 728.88

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Solution

The fourth proportional to 1,060.96, 1,462.60 and 728.88 is: 1,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.96 : 1,462.60 = 728.88 : x
  2. Step 2: Convert to fraction form
    1,060.96/1,462.60 = 728.88/x
  3. Step 3: Cross multiply
    1,060.96x = 1,462.60 × 728.88
  4. Step 4: Simplify right side
    1,060.96x = 1,066,059.89
  5. Step 5: Solve for x
    x = 1,066,059.89/1,060.96
  6. Step 6: Final answer
    x = 1,004.81

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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.