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Finding the Fourth Proportional to 763.89, 1,053.92 and 480.03

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Solution

The fourth proportional to 763.89, 1,053.92 and 480.03 is: 662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.89 : 1,053.92 = 480.03 : x
  2. Step 2: Convert to fraction form
    763.89/1,053.92 = 480.03/x
  3. Step 3: Cross multiply
    763.89x = 1,053.92 × 480.03
  4. Step 4: Simplify right side
    763.89x = 505,918.37
  5. Step 5: Solve for x
    x = 505,918.37/763.89
  6. Step 6: Final answer
    x = 662.29

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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.