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Finding the Fourth Proportional to 883.19, 1,323.92 and 493.38

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Solution

The fourth proportional to 883.19, 1,323.92 and 493.38 is: 739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.19 : 1,323.92 = 493.38 : x
  2. Step 2: Convert to fraction form
    883.19/1,323.92 = 493.38/x
  3. Step 3: Cross multiply
    883.19x = 1,323.92 × 493.38
  4. Step 4: Simplify right side
    883.19x = 653,193.63
  5. Step 5: Solve for x
    x = 653,193.63/883.19
  6. Step 6: Final answer
    x = 739.58

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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.