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Finding the Fourth Proportional to 1,331.52, 1,995.72 and 509.34

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Solution

The fourth proportional to 1,331.52, 1,995.72 and 509.34 is: 763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.52 : 1,995.72 = 509.34 : x
  2. Step 2: Convert to fraction form
    1,331.52/1,995.72 = 509.34/x
  3. Step 3: Cross multiply
    1,331.52x = 1,995.72 × 509.34
  4. Step 4: Simplify right side
    1,331.52x = 1,016,500.02
  5. Step 5: Solve for x
    x = 1,016,500.02/1,331.52
  6. Step 6: Final answer
    x = 763.41

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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.