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Finding the Fourth Proportional to 862.55, 1,190.72 and 552.23

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Solution

The fourth proportional to 862.55, 1,190.72 and 552.23 is: 762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.55 : 1,190.72 = 552.23 : x
  2. Step 2: Convert to fraction form
    862.55/1,190.72 = 552.23/x
  3. Step 3: Cross multiply
    862.55x = 1,190.72 × 552.23
  4. Step 4: Simplify right side
    862.55x = 657,551.31
  5. Step 5: Solve for x
    x = 657,551.31/862.55
  6. Step 6: Final answer
    x = 762.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.