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Finding the Fourth Proportional to 1,003.05, 1,504.71 and 353.79

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Solution

The fourth proportional to 1,003.05, 1,504.71 and 353.79 is: 530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.05 : 1,504.71 = 353.79 : x
  2. Step 2: Convert to fraction form
    1,003.05/1,504.71 = 353.79/x
  3. Step 3: Cross multiply
    1,003.05x = 1,504.71 × 353.79
  4. Step 4: Simplify right side
    1,003.05x = 532,351.35
  5. Step 5: Solve for x
    x = 532,351.35/1,003.05
  6. Step 6: Final answer
    x = 530.73

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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.