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Finding the Fourth Proportional to 741.20, 1,023.60 and 663.92

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Solution

The fourth proportional to 741.20, 1,023.60 and 663.92 is: 916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.20 : 1,023.60 = 663.92 : x
  2. Step 2: Convert to fraction form
    741.20/1,023.60 = 663.92/x
  3. Step 3: Cross multiply
    741.20x = 1,023.60 × 663.92
  4. Step 4: Simplify right side
    741.20x = 679,588.51
  5. Step 5: Solve for x
    x = 679,588.51/741.20
  6. Step 6: Final answer
    x = 916.88

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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.