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Finding the Fourth Proportional to 741.63, 1,023.50 and 426.91

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Solution

The fourth proportional to 741.63, 1,023.50 and 426.91 is: 589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.63 : 1,023.50 = 426.91 : x
  2. Step 2: Convert to fraction form
    741.63/1,023.50 = 426.91/x
  3. Step 3: Cross multiply
    741.63x = 1,023.50 × 426.91
  4. Step 4: Simplify right side
    741.63x = 436,942.39
  5. Step 5: Solve for x
    x = 436,942.39/741.63
  6. Step 6: Final answer
    x = 589.16

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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.