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Finding the Fourth Proportional to 1,084.92, 1,628.28 and 537.27

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Solution

The fourth proportional to 1,084.92, 1,628.28 and 537.27 is: 806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.92 : 1,628.28 = 537.27 : x
  2. Step 2: Convert to fraction form
    1,084.92/1,628.28 = 537.27/x
  3. Step 3: Cross multiply
    1,084.92x = 1,628.28 × 537.27
  4. Step 4: Simplify right side
    1,084.92x = 874,826.00
  5. Step 5: Solve for x
    x = 874,826.00/1,084.92
  6. Step 6: Final answer
    x = 806.35

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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.