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Finding the Fourth Proportional to 1,003.27, 1,505.05 and 310.00

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Solution

The fourth proportional to 1,003.27, 1,505.05 and 310.00 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.27 : 1,505.05 = 310.00 : x
  2. Step 2: Convert to fraction form
    1,003.27/1,505.05 = 310.00/x
  3. Step 3: Cross multiply
    1,003.27x = 1,505.05 × 310.00
  4. Step 4: Simplify right side
    1,003.27x = 466,557.97
  5. Step 5: Solve for x
    x = 466,557.97/1,003.27
  6. Step 6: Final answer
    x = 465.04

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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.