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Finding the Fourth Proportional to 1,096.92, 1,643.94 and 547.74

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Solution

The fourth proportional to 1,096.92, 1,643.94 and 547.74 is: 820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.92 : 1,643.94 = 547.74 : x
  2. Step 2: Convert to fraction form
    1,096.92/1,643.94 = 547.74/x
  3. Step 3: Cross multiply
    1,096.92x = 1,643.94 × 547.74
  4. Step 4: Simplify right side
    1,096.92x = 900,451.70
  5. Step 5: Solve for x
    x = 900,451.70/1,096.92
  6. Step 6: Final answer
    x = 820.89

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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.