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Finding the Fourth Proportional to 741.63, 1,023.45 and 431.31

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Solution

The fourth proportional to 741.63, 1,023.45 and 431.31 is: 595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.63 : 1,023.45 = 431.31 : x
  2. Step 2: Convert to fraction form
    741.63/1,023.45 = 431.31/x
  3. Step 3: Cross multiply
    741.63x = 1,023.45 × 431.31
  4. Step 4: Simplify right side
    741.63x = 441,424.22
  5. Step 5: Solve for x
    x = 441,424.22/741.63
  6. Step 6: Final answer
    x = 595.21

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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.