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Finding the Fourth Proportional to 882.42, 1,322.61 and 492.33

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Solution

The fourth proportional to 882.42, 1,322.61 and 492.33 is: 737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.42 : 1,322.61 = 492.33 : x
  2. Step 2: Convert to fraction form
    882.42/1,322.61 = 492.33/x
  3. Step 3: Cross multiply
    882.42x = 1,322.61 × 492.33
  4. Step 4: Simplify right side
    882.42x = 651,160.58
  5. Step 5: Solve for x
    x = 651,160.58/882.42
  6. Step 6: Final answer
    x = 737.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.