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Finding the Fourth Proportional to 1,092.42, 1,638.56 and 628.75

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Solution

The fourth proportional to 1,092.42, 1,638.56 and 628.75 is: 943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.42 : 1,638.56 = 628.75 : x
  2. Step 2: Convert to fraction form
    1,092.42/1,638.56 = 628.75/x
  3. Step 3: Cross multiply
    1,092.42x = 1,638.56 × 628.75
  4. Step 4: Simplify right side
    1,092.42x = 1,030,237.36
  5. Step 5: Solve for x
    x = 1,030,237.36/1,092.42
  6. Step 6: Final answer
    x = 943.08

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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.