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Finding the Fourth Proportional to 741.33, 1,021.44 and 492.24

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Solution

The fourth proportional to 741.33, 1,021.44 and 492.24 is: 678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.33 : 1,021.44 = 492.24 : x
  2. Step 2: Convert to fraction form
    741.33/1,021.44 = 492.24/x
  3. Step 3: Cross multiply
    741.33x = 1,021.44 × 492.24
  4. Step 4: Simplify right side
    741.33x = 502,793.63
  5. Step 5: Solve for x
    x = 502,793.63/741.33
  6. Step 6: Final answer
    x = 678.23

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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.