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Finding the Fourth Proportional to 882.56, 1,322.76 and 492.54

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Solution

The fourth proportional to 882.56, 1,322.76 and 492.54 is: 738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.56 : 1,322.76 = 492.54 : x
  2. Step 2: Convert to fraction form
    882.56/1,322.76 = 492.54/x
  3. Step 3: Cross multiply
    882.56x = 1,322.76 × 492.54
  4. Step 4: Simplify right side
    882.56x = 651,512.21
  5. Step 5: Solve for x
    x = 651,512.21/882.56
  6. Step 6: Final answer
    x = 738.21

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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.