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Finding the Fourth Proportional to 1,331.38, 1,995.71 and 509.44

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Solution

The fourth proportional to 1,331.38, 1,995.71 and 509.44 is: 763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.38 : 1,995.71 = 509.44 : x
  2. Step 2: Convert to fraction form
    1,331.38/1,995.71 = 509.44/x
  3. Step 3: Cross multiply
    1,331.38x = 1,995.71 × 509.44
  4. Step 4: Simplify right side
    1,331.38x = 1,016,681.98
  5. Step 5: Solve for x
    x = 1,016,681.98/1,331.38
  6. Step 6: Final answer
    x = 763.63

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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.