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Finding the Fourth Proportional to 1,331.07, 1,996.50 and 509.31

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Solution

The fourth proportional to 1,331.07, 1,996.50 and 509.31 is: 763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.07 : 1,996.50 = 509.31 : x
  2. Step 2: Convert to fraction form
    1,331.07/1,996.50 = 509.31/x
  3. Step 3: Cross multiply
    1,331.07x = 1,996.50 × 509.31
  4. Step 4: Simplify right side
    1,331.07x = 1,016,837.42
  5. Step 5: Solve for x
    x = 1,016,837.42/1,331.07
  6. Step 6: Final answer
    x = 763.92

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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.