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Finding the Fourth Proportional to 741.63, 1,023.46 and 461.98

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Solution

The fourth proportional to 741.63, 1,023.46 and 461.98 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.63 : 1,023.46 = 461.98 : x
  2. Step 2: Convert to fraction form
    741.63/1,023.46 = 461.98/x
  3. Step 3: Cross multiply
    741.63x = 1,023.46 × 461.98
  4. Step 4: Simplify right side
    741.63x = 472,818.05
  5. Step 5: Solve for x
    x = 472,818.05/741.63
  6. Step 6: Final answer
    x = 637.54

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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.