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Finding the Fourth Proportional to 1,003.29, 1,504.98 and 386.79

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Solution

The fourth proportional to 1,003.29, 1,504.98 and 386.79 is: 580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.29 : 1,504.98 = 386.79 : x
  2. Step 2: Convert to fraction form
    1,003.29/1,504.98 = 386.79/x
  3. Step 3: Cross multiply
    1,003.29x = 1,504.98 × 386.79
  4. Step 4: Simplify right side
    1,003.29x = 582,111.21
  5. Step 5: Solve for x
    x = 582,111.21/1,003.29
  6. Step 6: Final answer
    x = 580.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.