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Finding the Fourth Proportional to 1,003.39, 1,505.24 and 309.89

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Solution

The fourth proportional to 1,003.39, 1,505.24 and 309.89 is: 464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.39 : 1,505.24 = 309.89 : x
  2. Step 2: Convert to fraction form
    1,003.39/1,505.24 = 309.89/x
  3. Step 3: Cross multiply
    1,003.39x = 1,505.24 × 309.89
  4. Step 4: Simplify right side
    1,003.39x = 466,463.94
  5. Step 5: Solve for x
    x = 466,463.94/1,003.39
  6. Step 6: Final answer
    x = 464.89

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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.