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Finding the Fourth Proportional to 1,003.73, 1,505.61 and 310.39

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Solution

The fourth proportional to 1,003.73, 1,505.61 and 310.39 is: 465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.73 : 1,505.61 = 310.39 : x
  2. Step 2: Convert to fraction form
    1,003.73/1,505.61 = 310.39/x
  3. Step 3: Cross multiply
    1,003.73x = 1,505.61 × 310.39
  4. Step 4: Simplify right side
    1,003.73x = 467,326.29
  5. Step 5: Solve for x
    x = 467,326.29/1,003.73
  6. Step 6: Final answer
    x = 465.59

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Why These Related Problems?

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