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Finding the Fourth Proportional to 1,003.52, 1,505.36 and 263.23

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Solution

The fourth proportional to 1,003.52, 1,505.36 and 263.23 is: 394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.52 : 1,505.36 = 263.23 : x
  2. Step 2: Convert to fraction form
    1,003.52/1,505.36 = 263.23/x
  3. Step 3: Cross multiply
    1,003.52x = 1,505.36 × 263.23
  4. Step 4: Simplify right side
    1,003.52x = 396,252.81
  5. Step 5: Solve for x
    x = 396,252.81/1,003.52
  6. Step 6: Final answer
    x = 394.86

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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.