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Finding the Fourth Proportional to 1,092.76, 1,639.06 and 544.79

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Solution

The fourth proportional to 1,092.76, 1,639.06 and 544.79 is: 817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.76 : 1,639.06 = 544.79 : x
  2. Step 2: Convert to fraction form
    1,092.76/1,639.06 = 544.79/x
  3. Step 3: Cross multiply
    1,092.76x = 1,639.06 × 544.79
  4. Step 4: Simplify right side
    1,092.76x = 892,943.50
  5. Step 5: Solve for x
    x = 892,943.50/1,092.76
  6. Step 6: Final answer
    x = 817.15

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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.