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Finding the Fourth Proportional to 1,027.08, 1,541.34 and 450.12

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Solution

The fourth proportional to 1,027.08, 1,541.34 and 450.12 is: 675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.08 : 1,541.34 = 450.12 : x
  2. Step 2: Convert to fraction form
    1,027.08/1,541.34 = 450.12/x
  3. Step 3: Cross multiply
    1,027.08x = 1,541.34 × 450.12
  4. Step 4: Simplify right side
    1,027.08x = 693,787.96
  5. Step 5: Solve for x
    x = 693,787.96/1,027.08
  6. Step 6: Final answer
    x = 675.50

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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.