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Finding the Fourth Proportional to 1,092.69, 1,638.43 and 442.67

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Solution

The fourth proportional to 1,092.69, 1,638.43 and 442.67 is: 663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.69 : 1,638.43 = 442.67 : x
  2. Step 2: Convert to fraction form
    1,092.69/1,638.43 = 442.67/x
  3. Step 3: Cross multiply
    1,092.69x = 1,638.43 × 442.67
  4. Step 4: Simplify right side
    1,092.69x = 725,274.51
  5. Step 5: Solve for x
    x = 725,274.51/1,092.69
  6. Step 6: Final answer
    x = 663.75

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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.