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Finding the Fourth Proportional to 1,230.64, 1,842.56 and 940.72

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Solution

The fourth proportional to 1,230.64, 1,842.56 and 940.72 is: 1,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.64 : 1,842.56 = 940.72 : x
  2. Step 2: Convert to fraction form
    1,230.64/1,842.56 = 940.72/x
  3. Step 3: Cross multiply
    1,230.64x = 1,842.56 × 940.72
  4. Step 4: Simplify right side
    1,230.64x = 1,733,333.04
  5. Step 5: Solve for x
    x = 1,733,333.04/1,230.64
  6. Step 6: Final answer
    x = 1,408.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.