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Finding the Fourth Proportional to 741.94, 1,024.18 and 493.60

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Solution

The fourth proportional to 741.94, 1,024.18 and 493.60 is: 681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.94 : 1,024.18 = 493.60 : x
  2. Step 2: Convert to fraction form
    741.94/1,024.18 = 493.60/x
  3. Step 3: Cross multiply
    741.94x = 1,024.18 × 493.60
  4. Step 4: Simplify right side
    741.94x = 505,535.25
  5. Step 5: Solve for x
    x = 505,535.25/741.94
  6. Step 6: Final answer
    x = 681.37

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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.