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Finding the Fourth Proportional to 1,086.48, 1,628.64 and 537.84

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Solution

The fourth proportional to 1,086.48, 1,628.64 and 537.84 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.48 : 1,628.64 = 537.84 : x
  2. Step 2: Convert to fraction form
    1,086.48/1,628.64 = 537.84/x
  3. Step 3: Cross multiply
    1,086.48x = 1,628.64 × 537.84
  4. Step 4: Simplify right side
    1,086.48x = 875,947.74
  5. Step 5: Solve for x
    x = 875,947.74/1,086.48
  6. Step 6: Final answer
    x = 806.23

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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.