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Finding the Fourth Proportional to 1,092.46, 1,637.93 and 564.09

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Solution

The fourth proportional to 1,092.46, 1,637.93 and 564.09 is: 845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.46 : 1,637.93 = 564.09 : x
  2. Step 2: Convert to fraction form
    1,092.46/1,637.93 = 564.09/x
  3. Step 3: Cross multiply
    1,092.46x = 1,637.93 × 564.09
  4. Step 4: Simplify right side
    1,092.46x = 923,941.34
  5. Step 5: Solve for x
    x = 923,941.34/1,092.46
  6. Step 6: Final answer
    x = 845.74

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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.