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Finding the Fourth Proportional to 1,331.30, 1,997.01 and 509.28

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Solution

The fourth proportional to 1,331.30, 1,997.01 and 509.28 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.30 : 1,997.01 = 509.28 : x
  2. Step 2: Convert to fraction form
    1,331.30/1,997.01 = 509.28/x
  3. Step 3: Cross multiply
    1,331.30x = 1,997.01 × 509.28
  4. Step 4: Simplify right side
    1,331.30x = 1,017,037.25
  5. Step 5: Solve for x
    x = 1,017,037.25/1,331.30
  6. Step 6: Final answer
    x = 763.95

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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.