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Finding the Fourth Proportional to 1,092.18, 1,637.82 and 442.74

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Solution

The fourth proportional to 1,092.18, 1,637.82 and 442.74 is: 663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.18 : 1,637.82 = 442.74 : x
  2. Step 2: Convert to fraction form
    1,092.18/1,637.82 = 442.74/x
  3. Step 3: Cross multiply
    1,092.18x = 1,637.82 × 442.74
  4. Step 4: Simplify right side
    1,092.18x = 725,128.43
  5. Step 5: Solve for x
    x = 725,128.43/1,092.18
  6. Step 6: Final answer
    x = 663.93

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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.