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Finding the Fourth Proportional to 883.73, 1,324.98 and 397.32

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Solution

The fourth proportional to 883.73, 1,324.98 and 397.32 is: 595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.73 : 1,324.98 = 397.32 : x
  2. Step 2: Convert to fraction form
    883.73/1,324.98 = 397.32/x
  3. Step 3: Cross multiply
    883.73x = 1,324.98 × 397.32
  4. Step 4: Simplify right side
    883.73x = 526,441.05
  5. Step 5: Solve for x
    x = 526,441.05/883.73
  6. Step 6: Final answer
    x = 595.71

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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.