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Finding the Fourth Proportional to 1,311, 1,966.50 and 541.52

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Solution

The fourth proportional to 1,311, 1,966.50 and 541.52 is: 812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311 : 1,966.50 = 541.52 : x
  2. Step 2: Convert to fraction form
    1,311/1,966.50 = 541.52/x
  3. Step 3: Cross multiply
    1,311x = 1,966.50 × 541.52
  4. Step 4: Simplify right side
    1,311x = 1,064,899.08
  5. Step 5: Solve for x
    x = 1,064,899.08/1,311
  6. Step 6: Final answer
    x = 812.28

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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.