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Finding the Fourth Proportional to 883.37, 1,324.17 and 493.01

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Solution

The fourth proportional to 883.37, 1,324.17 and 493.01 is: 739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.37 : 1,324.17 = 493.01 : x
  2. Step 2: Convert to fraction form
    883.37/1,324.17 = 493.01/x
  3. Step 3: Cross multiply
    883.37x = 1,324.17 × 493.01
  4. Step 4: Simplify right side
    883.37x = 652,822.43
  5. Step 5: Solve for x
    x = 652,822.43/883.37
  6. Step 6: Final answer
    x = 739.02

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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.