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Finding the Fourth Proportional to 1,027.22, 1,541.04 and 333.95

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Solution

The fourth proportional to 1,027.22, 1,541.04 and 333.95 is: 500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.22 : 1,541.04 = 333.95 : x
  2. Step 2: Convert to fraction form
    1,027.22/1,541.04 = 333.95/x
  3. Step 3: Cross multiply
    1,027.22x = 1,541.04 × 333.95
  4. Step 4: Simplify right side
    1,027.22x = 514,622.60
  5. Step 5: Solve for x
    x = 514,622.60/1,027.22
  6. Step 6: Final answer
    x = 500.99

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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.